This is a sketch of the curve with equation y = f(x).
The curve has a minimum point at M(-1, -3).
Write down the coordinates of the minimum point
of the curve with equation
y = f(x) - 2

Answers

Answer 1

Answer:

  (-1, -5)

Step-by-step explanation:

Each point on a graph is the ordered pair (x, f(x)). Then the point M(-1 -3) is the ordered pair (-1, f(-1)) where f(-1) = -3.

A point on the shifted graph will be ...

  (x, f(x) -2)

Then for x = -1, the point is ...

  (-1, f(-1) -2) = (-1, -3 -2) = (-1, -5)

The minimum on the shifted curve is M'(-1, -5).

_____

Additional comment

f(x) is the y-coordinate of a point on a graph. Then f(x) -2 is the y-coordinate shifted down 2 units.


Related Questions

If $5x-7=13x+17$, what is $6(x-4)$?

Answers

Answer:

0(x-4)

Step-by-step explanation:

in my working system i mean just when i try on the place of 4 any number can be inserted

$5x-7=13x+17$,here both gives -22 as a result so

$6(x-4)$=6x-24 and to give the same result or 0

$6(x-4)$=0(x-any number )

How do u calculate pythagoras therorem

Answers

Answer:

a^2+b^2=c^2

Step-by-step explanation:

You can apply this formula to any quadratic equation.

The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.

Take a look at this triangle labeled, a, b, c. (attachment)

Side a and b are called the legs. The largest side,  c  is called the hypotenuse.

In order to find a side, we have to use the formula…

a^2 + b^2 = c^2

Let’s do an example.

Consider the following triangle.

(attachment)

We want to find side c, which is actually the hypotenuse as it is unknown.

In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.

[Math Processing Error]

What does 13=c mean? It means that the missing side, c, from the triangle above is 13.

Last Monday the temperature changed at a rate of -3 F per hour. How long did it take for the change in temperature to be -21 F?

Answers

Answer:

7 hours

Step-by-step explanation:

just multiply 3 and 7 to get 21

Answer:

[tex]\fbox {7 hours}[/tex]

Step-by-step explanation:

⇒ Rate = -3F/hour

⇒ Starting : -21F

Solving :

⇒ -21/-3

7 hours

Evaluate:
2/3 + 4/5 x 7/5 - 8/3​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

-0.88

Explanation:

2/3 + 4/5 x 7/5 - 8/3​

2/3 + 28/25 - 8/3

2/3 - 8/3 + 28/25

-6/3 + 28/25

-2 + 28/25

-50/25 + 28/25

-22/25

-0.88

A quadrilateral has angles 60,60,120 and 120
write down the names of three possible quadrilaterals that can have these angles

Answers

Answer:

RhombusIsosceles TrapeziumParallelogram

Step-by-step explanation:

A quadrilateral has angles 60,60,120 and 120

write down the names of three possible quadrilaterals that can have these angles

RhombusIsosceles TrapeziumParallelogram

Find the product of the given polynomials. (5x + 5 - 2x) (4 + 7x -1)

Answers

Answer:

21x2 +44x +15

Step-by-step explanation:

20x + 35x2 - 5x + 20 + 35x - 5 - 8x - 14x2 +2x

35x2-14x2 +20x-5x+35x-8x+2x +15

21x2 +44x +15

Solve ly + 21 > 6
() {yly <-8 or y> 4]
O (yly<-4 or y> 4}
(yly <-6 or y> 6}

Answers

[tex] |y + 2| > 6 \\ y + 2 > 6 \: \: \: or \: \: \: y + 2 < - 6 \\ y > 6 - 2 \: \: \: or \: \: \: y < - 6 - 2 \\ y > 4 \: \: \: or \: \: \: y < - 8[/tex]

Solution : ] -♾️ , -8 [ U ] 4, + ♾️ [

PLEASE GIVE BRAINLIEST

You find a wooden shelf 4½ feet long. You want to cut it to make two smaller shelves. One will be 1¼ feet long, the other, 2⅜ feet long. Is the uncut shelf long enough? Explain your answer.​

Answers

The length of the uncut shelf is not long enough.

Given a wooden shelf 4½ feet long.

The length of two small shelves is  1¼ and 2⅜ feet long respectively.

To find an uncut shelf long enough or not subtract shelf's piece length from the total length of the wooden shelf length.

The length of an uncut shelf can be calculated as:

⇒1¼ + 2⅜+x= 4½

⇒5/4 + 19/8 + x = 9/2

To solve this equation make variable and constant different sides.

⇒x= 9/2-5/2-19/8

⇒x=2-19/8

⇒x=-3/8

The length of the uncut shelf is -3/8 feet, which is not valid (∵ Length cannot be negative).

∴ The length of the shelf is not long enough.

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3. Error Analysis A classmate began an indirect
proof as shown below. Explain and correct
your classmate's error.
Given: AABC
Prove: LA is obtuse.
Assume temporarily that LA is acute.

Answers

Given AABC i think

True OR False
---------------------
x + 65 = 87, x = 27?​

Answers

Answer:

False

Step-by-step explanation:

27+65=92, so false

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: False[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: x + 65 = 87[/tex]

[ subtract 65 on both sides ]

[tex]\qquad \tt \rightarrow \: x + 65 - 65 = 87 - 65[/tex]

[tex]\qquad \tt \rightarrow \: x = 22[/tex]

but according to the statement it says, x = 27

which is proved wrong.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

how do I do this, i am doing this and i need full points

Answers

Answer:

D is correct ...

nind d d find her r d d d f FBI f

PLS HELP ME OUT THANK YOU I’m studying for my mid-term!!

Answers

Answer:

∠ ABD = 20°

Step-by-step explanation:

since BD bisects ∠ ABC , then

∠ ABD = ∠ CBD ( substitute values )

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Then

∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°

what is equivalent to y= a (x-h) +k

Answers

Answer:

See below

Step-by-step explanation:

I think you meant

  y= a (x-h)^2  +k

       this is the vertex form of a parabola with vertex  (h,k)

NEEP HELP ASSAP IF YOU COULD PLEASE

Answers

1. Corresponding Angles
2. Vertical Angles
3. Alternate Interior Angles
4. Supplementary angles
5. Same side interior angles, then vertical angles


Find the value of x to the nearest tenth.

Answers

X/32=tan54
X=44
But since it is to nearest tenth it is 44.0

Answer: 44

What is [tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] ?

[tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] is an abbreviation for how to making finding the angle measurements of right triangles easier!

[tex]S\frac{O}{H}[/tex] is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.

C is cosine and T is tangentA is adjacent side length

As stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.

Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.

The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.

Write this equation down and use your calculator to solve for x:

      *make sure your calculator is in degrees*

tan (54°) = [tex]\frac{x}{32}[/tex]

32 × tan (54°) = x

44.04 ≈ 44 =x

A company manufactures school desks. The table shows the number of units that the company sold each month over a nine-month period
beginning in January.
Month, x
Units, y
Which equation best models the situation?
1
800
2
500
3
400
4
300
5
200
6
300
7
450
8
600
9
800

Answers

Based on the values of x and y for the company and its school desks, the equation that best models the situation is D. y = 34x² - 334x + 1,075.

How does this equation model the situation?

The best equation would be the one that gives the closest value of y to the value of the actual value of y on the table.

The first two equations can be ruled out because the table shows that this is not a linear model as there is no constant rate of change.

Test the other two equations:

x=1:

y = -34(1)² + 334(1) + 1,075

= 1,075

This is too high.

Other equation:

y = 34(1)² - 334(1) + 1,075

= 775

This is close to 800 so this is the best equation.

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Question 4 of 10
Which pairs of angles in the figure below are vertical angles?
Check all that apply.

Answers

Answer:

B and D

Step-by-step explanation:

A is not a intersecting angles they are like doodles, B makes intersecting lines, C doesnt intersect properly its only like a Y with and extra angle and D is absolutely perfect. So, thats why its B and D

A square plastic tarp has sides that are 6 meters long. what is the tarp's area

Answers

Answer:

no comprendo nada de esto lo siento

Step-by-step explanation:

no comprendo

Solve for x.
x2 + 2x + 1 = 0

Answers

Answer:

x = -1

Step-by-step explanation:

factor and you get

(x + 1)(x + 1) or (x + 1)^2

now set it equal to zero

x + 1 = 0

subtract one from both sides

x = -1

Please help me

Find the values of x and y

Answers

(12x +15)°=75° .…(शिर्षभिमुख कोण भएर)

or, 12x+15=75

or, 12x=75-15

or, 12x=60

or, x=60÷12

or, x=5

(6y-27)°=105° .…(शिर्षभिमुख कोण भएर)

or, 6y-27=105

or, 6y=105+27

or, 6y=132

or, y=132÷6

or, y=22


Which best describes the function on the graph?
O direct variation; k =1/4
O direct variation; k = 4
O inverse variation; k =1/4
O inverse variation; k = 4

Answers

The option that best describes the graphed function is: D. inverse variation; k = 4

What is an Inverse Variation?

Given two variables x and y has an inverse variation, the equation that models the relationship of the inverse variation is: y = k/x, where k = xy.

This means that as x increases, y decreases. This is the same for the graph given. So, it is an inverse variation.

When x = 2, y = 2. Therefore:

k = (2)(2)

k = 4

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Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
1/7 -3(3/7n-2/7)

Answers

The expression 1/7 – 3(3/7n – 2/7) is equivalent to the expression 1 – 9/7n.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ 1/7 – 3(3/7n – 2/7)

On simplifying the expression, we have

⇒ 1/7 – 9/7n + 6/7)

⇒ 1 – 9/7n

More about the equivalent link is given below.

https://brainly.com/question/889935

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Answer:

-9/7 n + 1

Step-by-step explanation:

On khan

Is this pattern a net for the three-dimensional figure?



no

yes

Answers

Answer:

yes

Step-by-step explanation:

2 bases 3 rectangles, folds properly.

The answer for this question is yes

NEED SOME HELP ASAP PLEASE!!

Answers

Step-by-step explanation:

if it is cloudy, then it is snowing. False.  This is obviously not true since sometimes it's just cloudy and it's also cloudy when it rains.

all quadrilaterals are rectangles. False. A quadrilateral has four straight sides which don't have to be parallel to each other unlike a rectangle which has four straight sides with all four sides being parallel to one other side.

All chocolates like students? False? Not sure if I'm writing the converse correctly for this one but if I am this isn't true because chocolate doesn't have feelings...

All triangles with two or more congruent angles are a right triangle. False. This is only true when those two congruent angles add up to 90 which is when they're both 45. But they could also both be 30, 29, 28, etc... which won't result in a right triangle.

Answer:

If it is cloudy, then it is snowing.

   Counter-argument: It can be cloudy in the summer.

If a figure is a quadrilateral, then it is a rectangle.

   Counter-argument: Trapezoids are not rectangles.

If someone likes chocolate, then they are a student.

    Counter-argument: many people like chocolate who are not students.

If a triangle has 2 or more congruent angles, then it is a right triangle.

    Counter-argument: Equilateral tr6iangles have 3 congruent angles.

    None are right angles.

Step-by-step explanation:

Converse statements reverse the If Then in the original.

Fatoumata just accepted a job at a new company where she will make an annual salary of $43000. Fatoumata was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Fatoumata make as a salary after 3 years working for the company? What would be her salary after tt years?

Answers

Fatoumata's salary after 3 years will be $58,000.

Fatoumata's salary after tt years will be $43,000 + (5,000tt).

What is Fatoumata's salary?

The linear equation that can be used to determine Fatoumata's salary after the passage of time is:

Initial salary + (yearly increase x number of years)

$43,000 + 5000t

$43,000 + 5000(3) =  $58,000.

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Let
f(x) = (x − 3)−2.
Find all values of c in (1, 4) such that
f(4) − f(1) = f '(c)(4 − 1).
(Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
c =



Based off of this information, what conclusions can be made about the Mean Value Theorem?
This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 4) such that
f '(c) =
f(4) − f(1)
4 − 1
.
This does not contradict the Mean Value Theorem since f is not continuous at x = 3.
This does not contradict the Mean Value Theorem since f is continuous on (1, 4), and there exists a c on (1, 4) such that
f '(c) =
f(4) − f(1)
4 − 1
.
This contradicts the Mean Value Theorem since there exists a c on (1, 4) such that
f '(c) =
f(4) − f(1)
4 − 1
,
but f is not continuous at x = 3.
Nothing can be concluded.

Answers

Answer:

3/4 = -3* 2*(c-

I hope it helps!

if it does pls mark me brainliest answer

whats the answer to this? I don't know how to do it but i need to factor it completely with whatever method gies with it.​

Answers

Answer:

3x²y²(1 - 4xy²z)

Step-by-step explanation:

________________________________________
Factor
3 out of 12
Factor x² out of x³
Factor y² out of y⁴

you will get the GCF of 3x²y² and left with (1 - 4xy²z)

3x²y²(1 - 4xy²z)
________________________________________

Hoped this helped

Help with Pre Calculus

Answers

Answer:

The first option

Step-by-step explanation:

The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.

So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. [tex]x(2x^2-x-15)[/tex]. So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\[/tex]. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15

[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}[/tex]


Which of the following is an example of a quadratic equation?
A. y = 216+6
B. x²-64 = 0
C. y = 4x+6
D. x+10 = 33

Answers

Answer: B

Step-by-step explanation:

A quadratic equation has degree 2.

How many hours did theo and kade do separately?

Answers

kade worked for 15 hours and theo worked for 12
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