The function g(x) = 8|x – 15| - 30 is a transformation of the parent function p(x) = x. Which of the following correctly describes the transformation of function p that generates function g?
A p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right.
B. p has a vertical shrink by a factor of 8, then is translated 15 units down, and then is translated 30 units left
c. p is translated 15 units left, then has a vertical stretch by a factor of 8, and then is translated 30 units up.
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

Answers

Answer 1

Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

The parent function is:

[tex]p(x) = |x|[/tex]

The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.

Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.

Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.

Hence, the correct option is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

A similar problem is given at https://brainly.com/question/18405655


Related Questions

Find the area of this rectangle.
Write your answers in simplest form.

Answers

Answer:

7 1/7 square mm

Step-by-step explanation:

Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.

solve for w
6w+2=9w+14

Answers

Answer:

w = 4

Step-by-step explanation:

6w+2=9w+14

9w-6w=14-2

3w=12

w=12/3

w=4

Simplify (−4.5)(−6)(5.4).
i need the answer pls

Answers

Answer:

145.8

Step-by-step explanation:

−4.5 x −6 x 5.4

Answer:

the answer is 145.8

Step-by-step explanation:

sorry if I did it wrong

please help me with this sum​

Answers

its upsidedown what are you doing

. . .Factor 2x2 + x - 1

Answers

Answer:

(2−1)(+1)

Step-by-step explanation:

22+−12x^{2}+{\color{#c92786}{x}}-12x2+x−122+2−−1

solve pls brainliest

Answers

Answer:

a) 52

B)6

Step-by-step explanation:

B) -5+11=6

It's not that hard, you shall know negative signs rules

solve pls brainliest

Answers

5 and 7/10, 5.749, 5.78, and then 113/20

please answer the question above​

Answers

If a polygon has 20 sides, then the sum of all of its interior angles is 3240°.

-3-(-5)What is the answer to this equation

Answers

Answer:

2

Step-by-step explanation:

[tex] - 3 - ( - 5) \\ - 3 + 5 \\ 2 \\ [/tex]

A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds

Answers

Answer: 75 ft

Step-by-step explanation:

45x10 = 450

450/6=75

Answer:

75 feet

Step-by-step explanation:

10 divided by six is 3/2, in 1 second, a penguin walks 3/2 feet. With this logic, in 45 seconds a penguin walks 75 feet since 45 times 3/2 is 75.

Negative 1/3 in decimal form

Answers

Answer:

-0.3333334

Step-by-step explanation:

common sense

Answer:

-0.33

Step-by-step explanation:

-2,-6,-18,-54....n equals 11
What is the Geometric series!
Formula:Sn=a1(1-r^n) over(1-r)
PLEASE ANSWER I WILL GIVE U BRANLIEST ANSWER if correct¡!!¡

Answers

9514 1404 393

Answer:

  -177146

Step-by-step explanation:

The given formula is useful. The first term is a1 = -2. The common ratio is r = -6/-2 = 3. For n = 11 terms, the sum is ...

  S11 = -2(1 -3^11)/(1 -3) = -2(-177146/-2) = -177146

The sum of 11 terms of the series is -177146.

Stefan's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Stefan fills 24 equal sized jars with honey. He brings a total of 16 cups of honey to sell at the farmers' market.

Answers

Answer:

Have you ever wondered how a tiny little insect like a bee could ever fill a jar of honey? If it were just down to one bee it would be a mighty task but the work is shared by many thousands of bees and is a great example of what can be achieved by a co-ordinated effort. Think of it in terms of humans creating something like a pyramid.

A jar of honey weighs 454 grammes and a bee can carry about 0.04 grammes of nectar. But nectar is only about 40% sugar and honey needs to be about 80% sugar so the bee actually only carries about 0.02 grammes of honey on each trip.

Step-by-step explanation:

Select the simplification that accurately explains the following statement: \sqrt[4]{2}=2\frac{1}{4}

Answers

The answer is option B.

Because

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

You deposit 572.30 for an account that pays 4.5% interest how much interest you earn after six years

Answers

Answer:

$154.52

Step-by-step explanation:

First, you need to know the formula for this type of question.

The formula is I = Prt. These variables are: I = Interest, P = Principle investment, r = Rate, and t = Time.

So, your equation is I = 572.30(0.045)(6), where you have to find "I".

If you multiply 0.045 and 6, you get 0.27. Then, you multiply 0.27 and 572.30, which is 154.521.

The interest you earn will be $154.521. You can round the thousandths digit based on how you have been taught to do, but I will round the answer to 154.52.

Good luck!

A rectangle prism has a volume of 72 cubic ft.³ it has a height of 4 feet and the width of 3 feet what is the length and feet of the prism?

Answers

Answer:

volume = height × length ×width

volume =18×14×2

volume =504ft³

Step-by-step explanation:

answer 504ft3

I WILL MARK BRAINLIST ASAP

Andre opened a bank account. He deposited $135 each month for 5 months. His bank charged him $5 each month to use the account.

How much money is in Andre's account after 5 months?

A.
$675

B.
$650

C.
$115

D.
$130

Answers

Answer:

B. $650

Step-by-step explanation:

Every month Andre is losing $5 each month and he adds on $135 each month. This can be expressed as:

($135 × 5) - ($5 × 5)

= $675 - $25

= $650

B. $650 ( Explanation: $135 x 5(months) = 675 - 25= 650
Note. $ 25 represents the total monthly charge for each month for 5 months (5x5=25)

Jennifer babysat for 5 hours and earned
$52.50. What is her hourly rate of pay?

Answers

Answer:

$10.50

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

Just do 52.50 divided by 5 to find the amount she is paid per hour, and that’s 10.5. Meaning she gets paid $10.50 per hour.

a line passes through the point of (4,2) and has a slope of -5/4

Answers

Answer:

y = -5/4x + 7

Step-by-step explanation:

y = -5/4x + b

2 = -5/4(4) + b

2 = -5 + b

7 = b

Whats the two answers? ( Branliest )

Answers

Answer:

B and C

Step-by-step explanation:

Factors:

(A) x + y, no product(B) 5(x + y), two factors(C) (x - y)(x + y), two factors(D) xyz, three factors

#A

x+y

No

#B

5(x+y)5x+5y

Yes

#C

(x-y)(x+y)

Yes

#D

xyz

No

What is a pair of alternate interior angles?

Answers

Answer:

D. ∠2 and ∠8

Step-by-step explanation:

common sense lol

Solve for a side in right angles picture added

Answers

I think it’s 160
Because 90+70=160

Answer:

AC=5

in a basic right triangle the small side is always one shorter than the big side which is always one smaller than the hypotenuse.

Okay very important question.
When your doing pemdas , will you get a different answer then just calculating the problem on a calculator.

For example,

11x10-12 divided by 3

Calculated is 106

What’s the answer using pemdas?

Answers

Answer: It depends on how you put it in the calculator

Step-by-step explanation:

11x10=110

110-12=98

93/3 = 32.66

Find the y -intercept of the line with equation y=4x+6

Answers

Answer: The y-intercept of this equation is 6.

Explanation: When doing slope intercept form, the formula is y = mx + b. "M" is slope, and "B" is y-intercept. In this equation, 4 is the slope and 6 is the y-intercept.

Can anyone help me with the problem in the picture?

Answers

X = 45.

Since opposite exterior angles are congruent, you can set the 2 values equal to each other. When you solve for x, you should get 45.

I have more question then this one

Answers

The last option is correct

Question 1 (3 points)
CALCULATOR PERMITTED FOR SUBPART 3
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money
from the sale of cookies is expressed as dollars, d. Which equation represents the
earnings of the bake sale?
Plates of Cookies (p)
1
2
3
4
Earnings (d)
5
10
15
20
HN
o lol
O a
d = p + 5

d =P
=
5

Answers

done good job question giy

What is the result of the division?
2x^3-5x*4
—————-
x-3

Answers

Answer:

2x² + 6x + 13 remainder 43

Step-by-step explanation:

Long division:

2x³ - 5x + 4 ÷ x - 3 = 2x² + 6x + 13 rem 43

2x³ - 6x²

       6x² - 5x

      6x² - 18x

                13x + 4

                13x - 39

                        43

How would I show my work for this?

Answers

Answer:

4x4 = 16  √16=4

Step-by-step explanation:

Answer:

sqrt (16)

= sqrt (4×4)

= 4

Step-by-step explanation:

brainliest plz

HELPPPPP I NEEED TO GET A GOOD GRADE OR I'M BUSTEDDDDDDDD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

(MATH)

I WILL GIVE BRAINILEST! PIC DOWN BELOW!!

Answers

Answer:

D) -31

Step-by-step explanation:

use PEMDAS

3^2-(5 x 2^3)

3^2-(5 x 8)

3^2-40

9-40

-31

Other Questions
which is the largest atom in group IV? I have accidentally swallowed a dissolvable melatonin whole. Should I worry? Ulrich has to present his findings on the music of modern Japan at school the next day. What is the BEST way for him to do this? A. A direct speech to the class B. A multimedia presentation with sound C. A written essay with image handouts D. An interactive workshop involving the class why did Parliament pass the Navigation Acts?HELPPPPP PLEASE THANK YOUUU Ok serious question,I have a story Im writing and i dont know how to end this part, could someone take time out of their day to read it and suggest what should happen? Find the value of x. 50 Beth measured her brand new figurine to be17.550 cm tall. However, the manufacturerclaims that it is 17.260 cm tall. What is thepercent error in Beth's measurement?A 1.68%B 1.65% Describe, in detail, the working conditions that you see in the photograph. Fill in the blanks with the correct form of verb in parentheses. Pay close attention to the context of the sentence to determine if the verb should be conjugated in the imperfect or preterite tense. Research on performance appraisal suggests a. performance appraisal ratings are usually used only for feedback purposes. b. employees are always well aware of the basis for their evaluations. c. as organizations become flatter, there is less need for multiple appraisal perspectives like those of peers, customers and subordinates. d. feedback is most effective if it immediately follows high or low performance. Should the next ten years of this decade be revamped of the 1980s I will give Branliest. a basketball player makes 140 out of 350 free throws. find the percent by using equivalent fractions can you plz help.me this to find plz plz help please...........- Civil rights could never be had by all had ___ never occurred.? which of the following inequalities is graphed above? The horizontal rows on the periodic table are called need help!! I would give you brainliest if it is correct Figure D is the result of transforming Figure C.1. What transformation would accomplish this? plz help fast lot of points.