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is dilated to become LaTeX: g\left(x\right)=\frac{1}{3}\cdot4^x. What is the specific effect on LaTeX: f\left(x\right)

1 Answer

5 votes

Answer:

f(x) is shrinked

Explanation:

Given


f(x) = 4^x


g\left(x\right)=(1)/(3)\cdot4^x

Required

The effect of dilation on f(x)

From the given parameters, we have:


f(x) = 4^x


g\left(x\right)=(1)/(3)\cdot4^x

On a general term;


g(x) = k * f(x)

So by comparison:


k = (1)/(3)

When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink

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