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trapecia [35]
3 years ago
8

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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