Question

If you horizontally stretch the linear parent function, f(x) = x, by a factor of 3,

what is the equation of the new function?
A. g(x) = x - 3
B. g(x) = 3x
O C. g(x) = 3 - x
D. g(x) = 3 *
SUBMIT

Answer 1

The equation of the new function is
`g(x) = (x)/(3)`

Explanation:

Horizontally stretching a function:

Horizontally stretching a function f(x), by a factor of a, means that:

`g(x) = f((x)/(a))`

In this question:

`f(x) = x`, horizontally stretched by a factor of 3, so
`a = 3`, and:

`g(x) = f((x)/(3)) = (x)/(3)`

The equation of the new function is
`g(x) = (x)/(3)`