Question

If f(x) = x^2 is vertically compressed by a factor of 8 to g(x) what is the equation of g(x)?

Answer 1

Answer: First option

$g(x) = \frac{1}{8}x^2$

Step-by-step explanation:

Step-by-step explanation:

If the graph of the function $y=cf(x)$  represents the transformations made to the graph of $y= f(x)$  then, by definition:

If  $0$ then the graph is compressed vertically by a factor c.

If  $|c| > 1$ then the graph is stretched vertically by a factor c

If $c$  then the graph is reflected on the x axis.

In this problem we have the function $f(x)=x^2$ If this function is vertically compressed by a factor of 8 then  $0$  and $c=\frac{1}{8}$

Therefore the graph of g(x) is  $g(x)=\frac{1}{8}f(x)$

$g(x) = \frac{1}{8}x^2$

The answer is the first option