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

Answer:

The equation of the new function is $g(x) = \frac{x}{3}$

Step-by-step explanation:

Horizontally stretching a function:

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

$g(x) = f(\frac{x}{a})$

In this question:

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

$g(x) = f(\frac{x}{3}) = \frac{x}{3}$

The equation of the new function is $g(x) = \frac{x}{3}$