Answer:
g(x) = 4x²
Explanation:
The function f(x) goes through the point f(1) = 1. The function g(x) has its vertex in the same place, so there is no translation involved, only scaling. The scale factor (a) can be found from ...
g(x) = a·f(x)
g(1) = 4 = a·f(1) = a·1
Then a=4, and the equation for g(x) is ...
g(x) = 4·f(x)
g(x) = 4x²