Question

Describe the transformation from y= x + 4 to y= .5x + 4 Group of answer choices compresses stretches shifts right 4 shifts left 4

Answer 1

This type of transformation is a horizontal stretch.

Explanation:

Given

`y = x + 4`

`y = .5x + 4`

Required

Determine the type of transformation

The first function can be expressed as:

`f(x) = x + 4`

While the second function is:

`g(x) = f(0.5x)`

Solving f(0.5x), we have to substitute 0.5x for x in
`f(x) = x + 4`

`f(0.5x) = 0.5x + 4`

So:

The second function is:

`g(x) = 0.5x + 4`

This type of transformation is a horizontal stretch.

i.e. f(x) stretched to g(x)