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]
