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Given the toolkit function g(x) = x2, find the equation of the transformation g(x) after a vertical shrink by a factor of 1/2.f(x) = (1/2x)2f(x) = (1/2)x2f(x) = x2 + 2f(x) = 2x2

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SOLUTION

From the give function

[tex]f(x)=x^2[/tex]

A vertical shrink or compression by 1/2 means we multiply the given polynomial by 1/2, that is

[tex]g(x)=x^2\rightarrow\frac{1}{2}\times x^2\rightarrow f(x)=\frac{1}{2}x^2[/tex]

Hence the answer is

[tex]f(x)=(\frac{1}{2})x^2[/tex]

The 2nd option is the answer

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