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# Given is the function f(x) = -3x + 2

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Given is the function f(x) = -3x + 2

a. The graph of g starts from the graph of f by multiplying the x axis with the factor - 2/3 and shift it up 1/3. What is the function notation of g?

b. The graph of the function h(x) = -12x + 10  starts from the graph of f by multiplying the x axis and then shift it. With which factor do you have to multiply and how does the graph translate.

c. The graph of h can also start from the graph of f by first translating and then multiplying. Show how.

Jun 14, 2019

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I don't quite understand how to solve a and c, but I already kinda started on b but I don't know how to continue

the shift of f is u

-12x + 10 + u = -3x + 2

12x + u = 3x -8

4x + u = x + -8

Jun 14, 2019
#2
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"Given is the function f(x) = -3x + 2

a. The graph of g starts from the graph of f by multiplying the x axis with the factor - 2/3 and shift it up 1/3. What is the function notation of g?

b. The graph of the function h(x) = -12x + 10  starts from the graph of f by multiplying the x axis and then shift it. With which factor do you have to multiply and how does the graph translate.

c. The graph of h can also start from the graph of f by first translating and then multiplying. Show how. "

Is this what you are looking for: Jun 14, 2019
#3
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Thanks for the reply! I think so, I just don't quite understand how you 'split'

factor * (-3x) = -12x  and  2 + shift = 10

EDIT: Nvm lol, I think I figured out why. Correct me if I'm wrong, but is it since factor * -3x = 10 wouldn't make much sense?

Guest Jun 14, 2019
edited by Guest  Jun 14, 2019
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That's right.

Alan  Jun 14, 2019