Answer:
Option C.
Explanation:
Function f(x) = x², when transformed a new function g(x) is formed.
Let the new function is g(x) = kx²
Since a point (1, 4) lies on the new graph g(x),
By satisfying the equation of the new function with the coordinates of the point (1, 4),
4 = k(1)
k = 4
Therefore, transformed function g(x) will be,
g(x) = 4x²
Option (C) will be the answer.