Answer:
g(x) = (4/5)x^2 - 2
Step-by-step explanation:
f(x) = (2/5)x^2 - 2 is the equation of a parabola with vertex at (0, -2).
Applying a vertical stretch of factor 2 to f(x) requires multiplying both the slope (2/5) and the y-intercept (-2) by 2:
g(x) = (2)(2/5)x^2 - 4, or
g(x) = (4/5)x^2 - 4.
