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Please help me with this problem Let f(x)=25x2−2. The function g(x) is a vertical stretch of f(x) by a factor of 2. What is the equation of g(x)? Enter your answer in the box. g(x) =

Please help me with this problem Let fx25x22 The function gx is a vertical stretch of fx by a factor of 2 What is the equation of gx Enter your answer in the bo class=

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Solution

Given the function below

[tex]f(x)=\frac{2}{5}x^2-2[/tex]

The function g(x) is a vertical stretch of f(x) by a factor of 2, i.e

[tex]\begin{gathered} g(x)=2(\frac{2}{5}x^2-2) \\ g(x)=\frac{4}{5}x^2-4 \end{gathered}[/tex]

Hence, the equation of g(x) is

[tex]g(x)=\frac{4}{5}x^2-4[/tex]

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