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) =

We are given function f(x) = 25x^2 -2. g(x) is a vertical stretch of f(x) by a factor of 2.We know, the transformation ruley= k f(x), vertical stretch by a factor k. For k>0.Because function f(x) is being vertical stretched by a factor of 2. So, we need to multiply f(x) function by 2.Therefore, g(x) = 2 f(x) = 2*(25x^2-2).Therefore, g(x) = 2*(25x^2-2) or g(x) = 50x^2-4.