Write a formula for function h in terms of function f.
h(x)=

Write A Formula For Function H In Terms Of Function F.h(x)=

Answers

Answer 1

Answer:

h(x) = f(x + 12) - 4

Step-by-step explanation:

According to the graph, the function h(x) is the translation of the function f(x) to the right and down.

Compare the coordinates of the vertices to write the formula

(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4

The formula is

h(x) = f(x + 12) - 4
Answer 2

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

The vertex is the turning point (stationary point or minima/maxima) of the graph.

To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.

Vertices of given functions:

Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)

Differences

x-values:  6 - (-6) = 12y-values:  7 - 11 = -4

Therefore, y = f(x) has been:

translated 12 units righttranslated 4 units down

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4

So the formula for h(x) in terms of f(x) is:

h(x) = f(x - 12) - 4

Learn more about transformations here:

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Related Questions

what is the quotient of 1,224 divided by 9

Answers

Answer:

136

Step-by-step explanation:

Simply divide the numbers, the result is the quotient

1224/9 = 136

The quotient of the given expression when 1,224 divided by 9 is 136.

The quotient is defined as the number obtained on dividing a number with some number.

The number left after the division is called as the remainder.

Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.

The quotient of the following expression can be calculated as:

When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.

So, it can be said that 136 is the quotient when 1,224 divided by 9.

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sin 30° = ½ and cos 30° = fB

Answers

Answer:

True

Step-by-step explanation:

Draw an illustration using the given information below (you don't need to answer the question itself and assume that the buildings, ladders, etc. are all on the ground)

• A bird sits on top of a 5-meter lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35º.

Answers

Step-by-step explanation:

here you go also I like your profile picture classroom of elite !

Is a triangle with sides 7 feet, 12 feet, and 14 feet a right, acute or obtuse triangle?

Answers

Answer:

Acute

Step-by-step explanation:

This should be an acute triangle because if this was a right angle, then the three sides should be figured out by the Pythagorean Theorem.

An obtuse angle wouldn't be right either, you need an angle to be over 90.

What is the equation of the circle pictured?





Explain your reasoning.

Answers

Answer:

(x+2)^2 + (y-4)^2 = 4^2

Step-by-step explanation:

A circle is x^2 + y^2 = 1 , where r = 1

The radius of that circle looks to appear to be r = 4.

x^2 + y^2 = 4^2

Transition that circle origin from (0,0) to (-2,4)

The origin is (-2,4) which mean h = -2 left and k = 4 up.

(x-h)^2 + (y-k)^2 = 4^2

(x-(-2))^2 + (y-4)^2 =4^2

Find the length of BC.



Explain how you got it, please!
Thanks!

Answers

Answer:

BC = 30.73

Here,

[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]

so first solve for QD

[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]

[tex]\sf \hookrightarrow DQ =9[/tex]

Hence, QD = 9

Now! using Pythagoras theorem,

CD² + BD² = BC²19.2² + (9+15)² = BC²BC = √368.64+576BC = 30.73499634BC = 30.73 ( rounded to nearest hundredth )

Answer:

BC = 30.7 units (nearest tenth)

Step-by-step explanation:

As ∠AQR = ∠CQR  then ∠AQB = ∠CQD

This means that ΔABQ ~ ΔCDQ

Therefore, the side lengths of two similar triangles are proportional.

[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = BD = BQ + QD = 15 + 9 = 24b = CD = 19.2c = BC

Substituting values into the formula:

[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]

(since distance is positive only)

Two sides of a triangle are 8 inches and 12 inches long each. Which of the following could be the length of the third side that would form a triangle?

Answers

Answer: All except 3 in.

Step-by-step explanation:

 Two shorter sides of a triangle are equal to or bigger than the longest side. So the answer is all of them except 3 inches.

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.

Answers

Answer:

the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle

Step-by-step explanation:

for the equation to be true we must first identify the shapes used.

the shapes used include  

regular hexagonregular pentagonsquareequilateral triangle

now that we know the shapes we must find out which shapes are shaded

regular hexagon (shaded)regular pentagon (not shaded)square (shaded)equilateral triangle (not shaded)

now we know which shapes are shaded we can now form the equation to find the area

i will turn the shapes into varibles so its easier on my brain and yours

area of the regular hexagon= harea of the regular pentagon= parea of the square= sarea of the equilateral triangle= tshaded area= A

we can know use the info gathered earlier to create the equation

shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)

or in other words with the variables

A=( h-p )+( s-t )

if your still not convinced see the attached image

||

\/

i will give yo 20 points

Answers

Answer:

p = [tex]\frac{q-4}{3}[/tex]

Step-by-step explanation:

q - 2p = p + 4

=> p + 2p = q - 4

=> 3p = q - 4

=> [tex]\frac{3p}{3} =\frac{q-4}{3}[/tex]

=> p = [tex]\frac{q - 4}{3}[/tex]

hope this helps!! p.s. i really need brainliest :)

Answer:

p = (q - 4)/ 3.

Step-by-step explanation:

q - 2p = p + 4

q - 2p - p = 4

-3p = 4 - q

p = -(4 - q)/3

p = (q - 4)/ 3

Four friends ran in a 5K race on Saturday. They were the top 4 finishers. Here are their race times: Craig: 25.9 minutes Charlie: 32.28 minutes Randy: 32.2 minutes Sam: 25.85 minutes Who won first place? Who won second place? Third? Fourth?​

Answers

Sam first one

Craig second one

Randy third one

Charlie fourth one

From the data second is Craig, third is Randy and fourth is Charlie.

Given that, 4 persons ran a race.

Craig took 25.9 minutes

32.28 minutes took by Charlie

32.2 minutes by Randy

25.85 by Sam

To find who own second, third and fourth

Arranged the decimals in ascending order and found the answers.

By arranging in ascending order:

Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.

First is Sam = 25.85

Second is Craig = 25.9

Third is Randy = 32.2

Fourth is Charlie = 32.28

Hence, from the data second is Craig, third is Randy and fourth is Charlie.

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James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.

How many more pounds does one of the heaviest bags weigh than one of the lightest bags?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

3/4

Step-by-step explanation: i took test. pls give brainliest.

how do I find the product of (5p+2)^2

Answers

Answer:

Hi mate

Step-by-step explanation:

Your question

[tex] {(5p + 2)}^{2} [/tex]

Applying identity we get

[tex] {5p}^{2} + 2(5p)(2) + {2}^{2} [/tex]

Now finding answer

[tex] {25p}^{2} + 20p + 4[/tex]

Thsi is answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Hi!

Given:

[tex](5p+2)^2[/tex]

The exponent of 2 shows we need to multiply it all by itself.

This is equal to:

[tex](5p+2)(5p+2)[/tex]

Use Distributive property and FOIL method:

[tex]25p^2+10p+10p+4[/tex]

Combine like terms:

[tex]25p^2+20p+4[/tex]

NOTE: if you are not familiar with the FOIL method, see the attached image below:

Does this table represent a function?

Answers

Answer:

Yes it does!

Have an amazing day!!

Please rate and mark brainliest!

If m∠4 = 90°, find the m∠5 and m∠3.​

Answers

Answer:

∠5 = 90°

∠3 =90

Step-by-step explanation:

4 + ∠5 = 180   {Linear pair}

90 +∠5 = 180

      ∠5 = 180 - 90

∠5 = 90°

∠3 = ∠4   {Verically opposite angles}

∠3 = 90°

What is the value of this expression?



6n + 5y + 4z

n=4

y=3

z=2

Show the work

Answers

Answer:

47

Step-by-step explanation:

6n + 5y + 4z

substitute the variables

6(4) + 5(3) + 4(2)

6 x 4 = 24

5 x 3 = 15

4 x 2 = 8

24 + 15 + 8

= 47

What is the area of the triangle shown?

Answers

Answer:

6

Step-by-step explanation:

4 units x 3 units = 12 units / 2 to get a triangle

Which integer in the set has the greatest value (-144, -4, -3, -13)?
O A) -3
OB) -4
OC) -13
OD) -144




HELP PLS HURRY

Answers

A. -3

Hope it helps............

The greatest value in the set (-144, -4, -3, -13) is,

⇒ - 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The set is,

⇒ (-144, -4, -3, -13)

Now, By the given set we have;

⇒ - 144 < - 13 < - 4 < -3

Therefore, We have;

The greatest value in the set (-144, -4, -3, -13) is,

⇒ - 3

Learn more about the mathematical expression visit:

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I also need help with this

Answers

Answer:

9

Step-by-step explanation:

Lowest chart value = 0

Highest chart value = 9

Range: highest chart value - lowest chart value

Range: 9 - 0

Range: 9

Hope this helps!

What is the equation of the blue line?

Answers

Answer:

y=2x+3

Step-by-step explanation:

Because the y-intercept starts at 3 and it goes up by 2 and to the side 1 so it would be y = 2x +3

Answer: y = 2x + 3

Step-by-step explanation:

    We will write the equation in slope-intercept form.

y = mx + b

    The slope can be found with "rise over run" since we have clear points on the graph.

    Start at (0, 3), count up 2 units, and count one unit to the right. This gives us a slope of positive 2.

    Rise / run = 2 / 1 = 2

    The "b" value is where the line hits the y-axis. It hits the y-axis at y-coordinate 3, so our y-intercept is positive 3.

    Final equation:

y = 2x + 3

Use a net to find the surface area of the cylinder. Use 3.14 for pie

Answers

Answer:

62.83

nearest tenth 62.8

the westside bakery uses 320 pounds of flour to make 1000 loaves of bread each loaf contains the same amount of flour.How many pounds of flour are used in each loaf of bread?

Answers

Answer:

1000/320=100/32=25/8 pounds of flour per piece of bread

Step-by-step explanation:

[tex]if \: each \: loaf \: contains \: the \: same \: amount \: of \: flour \: then \: each \: loaf \: contains \\ = \frac{1000}{320} \\ = 3.125[/tex]

therefore each loaf contains 3.125 pounds

A parking lot occupies a rectangular space measuring 120m by 80m. The owner wants to increase the parking lot by 25%. What would be the new dimension of the parking lot?​

Answers

Answer:

150metres by 100metres

Can you help me with this one

Answers

Answer:

??

Step-by-step explanation:

pls type the question properly have a good day:-)

Yo I need to bring up my grade bad so
2x=5+y
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

I WILL MARK BRAINLIST IF UR CORRECT

A box of cereal has 20 cups. If each serving of cereal is 1/2 of a cup, how many servings are in the box?

A. 10 servings

B. 1/40 servings

C. 1/20 servings

D. 40 servings

Answers

Answer:

40

Step-by-step explanation:

20/.5

14
DEF is a dilation of ABC with center (0,0). What is the scale factor?
3
1/2
1/3
1/4

Answers

Answer:

that is a 1/3 dialation, becuase you can estimate the base of the bigger triangle to be around 12 and the base of the smaller triangle is 4, and that would be a fraction that is something like 4/12 which happens to be equal to 1/3.

The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 110I I2 + I + 4 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles

Answers

Using the vertex of a quadratic equation, it is found that P is at a maximum for l = -0.5 thousand foot-candles.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the function for P is given by:

[tex]P(l) = \frac{110l}{l^2 + l + 4}[/tex]

The function will be at a maximum when the denominator is at a minimum. The denominator is a quadratic function with coefficients a = 1, b = 1, c = 4, hence:

[tex]l_v = -\frac{b}{2a} = -\frac{1}{2} = -0.5[/tex]

P is at a maximum for l = -0.5 thousand foot-candles.

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Yo I need to bring up my math grade bad so
y>1/3x
(please show it graphed already :D)

Answers

Answer:

The graph is shown below

Step-by-step explanation:

So, we can see that it is a linear equation, and the slope is 1/3x. Simply graph a line that has a slope of 1/3. Then, Becuase it shows y is greater than, we would shade above becuase y is greater than. But becuase it is not or equal to, we would create the line with dashes.

6 to the power of 3=216. Using exponents, write three more expressions whose value is 216.

Answers

Answer:

i think its (2 x 2^2) (3x3^2)

Step-by-step explanation:

Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 4
y = -5x + 4
y = -1/5 x + 2
y = 1/5 x - 4

Answers

Answer:

1st option

Step-by-step explanation:

Check out the attached photo

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