Question

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) =

Answer 1

Given the function below

`f(x)=(2)/(5)x^2-2`

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

`\begin{gathered} g(x)=2((2)/(5)x^2-2) \\ g(x)=(4)/(5)x^2-4 \end{gathered}`

Hence, the equation of g(x) is

`g(x)=(4)/(5)x^2-4`