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

g(x) = 2x + 1

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((2x)/(3))`, that is. So

`g(x) = 3((2x)/(3)) + 1 = 2x + 1`

Then

g(x) = 2x + 1