Question

if you vertically stretch the linear parent function f(x)=x, by a factor of 8, what is the equation of the new function

Answer 1

Answer:

$g(x) = 8x$

Step-by-step explanation:

Given:

$f(x) = x$

$Stretch\ factor = 8$

Required:

Equation of the new function.

Let the new function be represented by $g(x)$

The interpretation of this question is that;

$g(x) = f(x * 8)$

Multiply 8 by x

$g(x) = f(8x)$

If

$f(x) = x$

then

$f(8x) = 8 * x$

Multiply 8 by x

$f(8x) = 8x$

Recall that

$g(x) = f(8x)$

Substitute $f(8x) = 8x$ in the above expression

$g(x) = 8x$

Hence, the equation of the new function when stretched by a factor of 8 is $g(x) = 8x$