Question

The point ( - 14,12) is on the graph of y = f(x). Find the corresponding point on the graph of y= qe), where gex) = arcus.

Answer 1

Answer:

$(-14,4)$

Step-by-step explanation:

Given

$(-14,12)$   $\to$    $y =f(x)$

$g(x) = \frac{1}{3}f(x)$

Required

The corresponding point on $y = g(x)$

$(-14,12)$   $\to$    $y =f(x)$ means:

$12 = f(-14)$

or

$f(-14)=12$

$g(x) = \frac{1}{3}f(x)$ is calculated

$g(-14) = \frac{1}{3} * f(-14)$

$g(-14) = \frac{1}{3} * 12$

$g(-14) = 4$

So, the corresponding point on $y = g(x)$ is: $(-14,4)$