Question

Let f(x)=2/5x^2-2. The function g(x) is a vertical stretch of f(x) by the factor 2. What is the equation of g(x)?

Answer 1

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

Explanation:

Start with the given f(x)=2/5x^2-2 and multiply (2/5)x^2 by 2, obtaining

g(x) = 2(2/5)x^2 - 2, or

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