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3 years ago

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

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

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

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