robert7248
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If you horizontally stretch the linear parent function f(x) = x by a factor of 2, what is the equation of the new function?

A. g(x) = 1/2x
B. g(x) = x-2
C. g(x) = 2x
D. g(x) = 2-x

Respuesta :

kudzordzifrancis

ANSWER

C.

[tex]f(x) = 2x[/tex]

EXPLANATION

The linear parent function is

[tex]f(x) = x[/tex]

When this linear function is horizontally stretched by a factor of 'a', then the equation becomes

[tex]f(x) = ax[/tex]

In this case,

[tex]a = 2[/tex]

This implies that,

[tex]f(x) = 2x[/tex]

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