The graph below represents the function f(x) and the translated function g(x) .
If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?
Answers
Answer: D. [tex]g(x) = (x-b)^2[/tex]
Explanation:
If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.
Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.
So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]
Related Questions
please help me
what is
28a+84b+92c=
Answers
= 28b+84b+92c
=(28b+84b)+(92c)
=112b+92c
Answer = 112b+92c
Help me pls it's hard :(
Answers
Answer:
[tex]\huge\colorbox{blue}{A}\huge\colorbox{orange}{N}\huge\colorbox{gray}{S}\huge\colorbox{red}{W}\huge\colorbox{yellow}{E}\huge\colorbox{purple}{R}[/tex]
hitsss
Tell whether the sequence is arithmetic. If it is, what is the common difference?
2, 7, 13, 20...
a. yes; 5
b. yes; 6
c. yes; 2
d. no
Answers
Answer:
No
Step-by-step explanation:
7 - 2 = 5
13 - 7 = 6
20 - 13 = 7
Serena has 24 apps on her tablet. Of these apps, 6 are games. What percent of Serena's apps are games?
Answers
Answer:
25%
Step-by-step explanation:
Like and give 5 star rating
Mark brainllest please
A rectangular garden is 16 feet wide. Its length is 8 feet more than twice the width. What is the area of the garden?
Answers
Answer:
640 ft²
Step-by-step explanation:
Hi there!
We're given:
Width = 16
Length = 2 x Width + 8
Solve for the length:
l = 2(16)+8
l=32+8
l=40
Therefore, the length of the garden is 40 ft.
To find the area, multiply the length and width:
A = lw
A = (16)(40)
A = 640 ft²
I hope this helps!
Write the expression that represents the sum of
double a number and triple a number.
Answers
Answer: let x = the "number"
2x + 3x is the expression
Step-by-step explanation:
paulita reads an average of 20 pages each day she has 6 days to read 10 pages will she finish her reading in 6 days explain?
Answers
Answer:
Yes
Step-by-step explanation:
If she is reading 20 pages a day, and needs to read 10 pages, then she needs half a day, and since she has 6 days, she can do this.
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
Answers
9514 1404 393
Answer:
4.5 lb
Step-by-step explanation:
The ingredients are proportional so ...
wheat/rice = 3/2 = ??/3 lb
Multiplying by 3 lb gives ...
?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb
The mixture contains 4.5 lb of wheat.
_____
Additional comment
Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)
a/b = c/d ⇔ b/a = d/c ⇔ a/c = b/d ⇔ c/a = d/b
-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2
Answers
Hope this helps! :)
Answer: 60
Step-by-step explanation:
The negatives cancel each other out and you are left with 15 times 4
What is the minimum of the sinusoidal function?
Enter your answer in the box.
Answers
Answer:
The minimum is 1
Step-by-step explanation:
1 is the lowest point of the function so that's your answer (:
The minimum of the sinusoidal function is 1.
FunctionThe function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
TrigonometryTrigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Right angle triangleIt is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Given
y = 2sin(x + ∅) + 3 is a function
To findThe minimum of the sinusoidal function.
How to find the minimum of the sinusoidal function?y = 2sin(x + ∅) + 3 is a function is given
For the minimum value of sin(x + ∅) = -1, then
y = 2(-1) + 3
y = -2 + 3
y = 1
Thus the minimum of the sinusoidal function is 1.
More about the function link is given below.
https://brainly.com/question/5245372
The graphs of f(x) = 3x − 2 and g(x) = 2(1.2)x are shown here. Select the table that correctly shows the most accurate approximate value of x for f(x) = g(x).
Answers
Graph of functions attached
x=0.33Evaluate each expression.
12
N
3
(2511)
-
DONE
Answers
Answer:
1/5Step-by-step explanation:
[tex](25^{-3/2})^{1/3} = 25^{-3/2*1/3} = 25^{-1/2}=5^{-1/2*2}=5^{-1}=1/5[/tex]Let's evaluate the expression,
→ (25^-3/2)^1/3
→ 25^-3/2×1/3
→ 25^-3/6
→ 5^-1/2×2
→ 5^-1 {or} 1/5
Hence, the answer is 1/5.
b
b. (2x) + +
)
(2x3/4)+1/4=
Answers
Answer:
Exact Form:
7/4
Decimal Form:
1.75
Mixed Number Form:
1 3/4
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Find the product. Simplify your answer.
(m+2)(3m+2)
Answers
there you go the answer is in the picture
3m^2+8m+4
Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4
Answers
Step-by-step explanation:
14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :
14/4 = 7/2
and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.
so, the mixed number is
3 1/2
Help! This assignment is due at 7:00 and this is the last question!
Solve for all values of b in simplest form (delta math)
|6-3b|=4
Answers
Answer:
b=2/3, b=10/3
Step-by-step explanation:
first equation
6-3b=4
6=4+3b
3b=2
b=2/3
second equation
6-3b=-4
10=3b
b=10/3
(PHOTO) Please help need this done by tomorrow thank you
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve ~
[tex]3x + 2 = x + 28[/tex]now let's deduct x from both sides ~
[tex]3x + 2 - x = x + 28 - x[/tex][tex]2x + 2 = 28[/tex]therefore, the missing term in the box is ~ 2
[tex] \boxed{2}x + 2 = 28[/tex]Answer:
? = 2
Step-by-step explanation:
To get the x to the other side, subtract x on both sides, then combine like terms.
[tex]3x+2=x+28\\3x+2-x=x+28-x\\2x+2=28[/tex]
Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4
Answers
Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]
[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]
The SP for both numbers is of 7.
A similar problem is given at https://brainly.com/question/20640860
what is 2/7 divided by 4
Answers
Answer:
2/7 ÷ 4= 2/7 × 1/4
=2/28
...................................
Which of the following does NOT reveal the variation (spread) of the data? Check all that apply. Mean Mode Standard Deviation Range Median
Answers
Mean, mode and median does NOT reveal the variation (spread) of the data.
When analyzing data, the most sort for characteristics is the variation (spread) in the data.
The values of the data in a sample might be more closely near the mean in some data sets whereas in other data sets the values of the data might be spread out from the mean.
Common measure of variation or spread are the standard deviation, range, variance.
Find out more at: https://brainly.com/question/23754141
write an equation of the line below
Answers
Answer:
y=-x-2
Step-by-step explanation:
The slope is negative 1 and the y intercept is -2
–42 >7f +3 what is f
Answers
Answer:
[tex]\displaystyle f < \frac{-45}{7}[/tex]
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle -42 > 7f + 3[/tex]
Step 2: Solve for f
[Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle -45 > 7f[/tex][Division Property of Equality] Divide 7 on both sides: [tex]\displaystyle \frac{-45}{7} > f[/tex]Rewrite: [tex]\displaystyle f < \frac{-45}{7}[/tex]Topic: Algebra I
Unit: One-Variable Equations
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more?
Answers
Answer:
12
Step-by-step explanation:
Which expression represents 81 decreased by an unknown number?
81÷a
81a
81−a
81 + a
Answers
Answer:
81 - a
Step-by-step explanation:
Decreased
means to subtract
81 –
by an unknown number
means a variable such as a or x
therefor
81 – a
8. A bamboo plant is 10 centimeters tall at noon and grows at a rate of 5 centimeters every 2 hours. The height (in centimeters) is a function h(t) of the time t it grows. When will the plant be 20 centimeters tall?
Answers
Answer:
in 10 hours
Step-by-step explanation:
Answer: 4 hours
Step-by-step explanation: since the plant is already 10 centimeters, and it grows five centimeters every two hours, it only needs four hours to grow another 10 centimeters for it to be 20 centimeters.
Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6
Answers
Answer:
1
Step-by-step explanation:
because... it is
The first factor has a degree of
2
.
The second factor has a degree of
3
.
The third factor has a degree of
.
The product has a degree of
.
Answers
Answer:
first = 2,second= 3
Step-by-step explanation:
F*s= 2*3
= 6
Given the following list of data, what is the five-number summary?
10, 12, 13, 13, 14, 16, 16, 18, 18, 18, 18
Answers
The answer is 15
andi did a test. the test had 20 questions. for each correct answer he gains 5 points and if he errs he loses 2 points. andy answers the questions and at the end is evaluated with 51 points. what is the number of his correct answers?
Answers
Answer:
10.2
Step-by-step explanation:
because 51 divide by 5 is 10.2 i am not sure
And 10q = 50 marks
So may be 10 or 10.2 is the correct ans
Hope this may help u
The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 870 years?
grams
Answers
Answer:
A(t) = amount remaining in t years
= A0ekt, where A0 is the initial amount and k is a constant to be determined.
Since A(1690) = (1/2)A0 and A0 = 80,
we have 40 = 80e1690k
1/2 = e1690k
ln(1/2) = 1690k
k = -0.0004
So, A(t) = 80e-0.0004t
Therefore, A(430) = 80e-0.0004(430)
= 80e-0.172
≈ 67.4 g
Step-by-step explanation:
hope it helpful for you ❤️
