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

Answer:

This type of transformation is a horizontal stretch.

Step-by-step 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)