Answer:
This type of transformation is a horizontal stretch.
Step-by-step explanation:
Given
[tex]y = x + 4[/tex]
[tex]y = .5x + 4[/tex]
Required
Determine the type of transformation
The first function can be expressed as:
[tex]f(x) = x + 4[/tex]
While the second function is:
[tex]g(x) = f(0.5x)[/tex]
Solving f(0.5x), we have to substitute 0.5x for x in [tex]f(x) = x + 4[/tex]
[tex]f(0.5x) = 0.5x + 4[/tex]
So:
The second function is:
[tex]g(x) = 0.5x + 4[/tex]
This type of transformation is a horizontal stretch.
i.e. f(x) stretched to g(x)
