Question

https://static.k12.com/nextgen_media/assets/8078563-NG_AL1_H_05_U06_Quiz_01.png

The graph shows f(x) and its transformation g(x) .

Which equation correctly models g(x) ?

A. g(x)=3^x−2 − 7

B. g(x)= 3^x+7 − 2

C. g(x)= 3^x+2 − 7

D. g(x)= 3^x−7 − 2

Answer 1

@Vocaloid

Answer 2

Hint it gets shifted right 2 units and shifted down 7 units

Answer 3

The Answer is B

Answer 4

Correct me if i'm wrong

Answer 5

Hint: to shift down 7 subtract 7 from the entire function

Answer 6

oh my mistake i've done it, it's either D or C so it's D

Answer 7

You have to subtract 7 from the entire function

So the -7 should be at the end

Answer 8

-7 at the end

calculate it

meaning the answer is A

Answer 9

The other three are wrong

Answer 10

Good

Answer 11

Let f(x)=3x .

Which function represents a transformation of f(x) by a vertical stretch with factor 6?

A. g(x)=1/6 ⋅ 3^x

B. g(x)= 3^1/6 x

C. g(x)= 3^6x

D. g(x) = 6 ⋅ 3^x

Answer 12

Hint take f(x) and multiply the entire thing by the vertical stretch factor

Answer 13

the answer is C because i calculated it and it seems about right

Answer 14

Multiply the entire function by 6 not just the exponent part

Answer 15

ok, the answers aren't A, C, or D

Answer 16

Write down 6

Then write a multiplication sign

Then write the original f(x)

Answer 17

6 x f(x)

Answer 18

Good now replace f(x) with the function given in the problem

Answer 19

6 x 3^x ?

Answer 20

or 6 ?

Answer 21

Good, 6 times 3^x which is answer choice...?

Answer 22

D

Answer 23

good, that's it

Answer 24

Let f(x)=5^x .

Let g(x)=5^x − 7 .

Which statement describes the graph of g(x) with respect to the graph of f(x) ?

A. g(x) is translated 7 units left from f(x) .

B. g(x) is translated 7 units up from f(x) .

C. g(x) is translated 7 units right from f(x) .

D. g(x) is translated 7 units down from f(x) .

Answer 25

hint: f(x) - k is a translation down k units

Answer 26

f(x) - k is a translation down k units

the answer is D because i solved it and seeing my A, B, or C be the quite answer

Answer 27

just a quick question is the -7 part of the exponent or not

Answer 28

no

Answer 29

ok, then D is correct

Answer 30

https://static.k12.com/nextgen_media/assets/1477612-IMX_140331_050602.jpg

What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=0.75^x ?

A. g(x)=0.75^x − 2

B. g(x)=0.75^x + 3

C. g(x)=0.75^x − 1

D. g(x)=0.75^x + 2

Answer 31

hint; is it translated up 2 units

Answer 32

D

Answer 33

good

Answer 34

This graph shows f(x)=(1/3)^x .

https://static.k12.com/nextgen_media/assets/8078616-NG_AL1_H_05_U06_Quiz_14.png

Which graph shows g(x) = (1/3)^x−2 + 6 ?

A. https://static.k12.com/nextgen_media/assets/8078617-NG_AL1_H_05_U06_Quiz_15.png

B. https://static.k12.com/nextgen_media/assets/8078619-NG_AL1_H_05_U06_Quiz_17.png

C. https://static.k12.com/nextgen_media/assets/8078618-NG_AL1_H_05_U06_Quiz_16.png

D. https://static.k12.com/nextgen_media/assets/8078620-NG_AL1_H_05_U06_Quiz_18.png

Answer 35

FINAL QUESTION

Answer 36

hint: take the original graph, translate to the right 2 units and up 6

Answer 37

the answer is C ?

Answer 38

i just graphed it

Answer 39

good

Answer 40

really are you sure ?

Answer 41

yes

Answer 42

ok thank you for all your help, i really appreciate it and how come you know some of these questions ?

Answer 43

because I've done this type of math before

Answer 44

oh ok, you're really very very smart and i wanted to let you know that