Question

Let g(x) be the transformation of f(x)= 3x - 5 when it is translated 6 units up followed by a horizontal stretch by a factor of 3/2.
g(x) = Blank 1X +Blank 2

Answer 1

Answer:

g(x) = 2x + 1

Step-by-step explanation:

f(x)= 3x - 5 when it is translated 6 units up

Translating a function a units is adding a to the function. So

$3x - 5 + 6 = 3x + 1$

Horizontal stretch by a factor of 3/2.

This means that $g(x) = f(\frac{2x}{3})$, that is. So

$g(x) = 3(\frac{2x}{3}) + 1 = 2x + 1$

Then

g(x) = 2x + 1