Respuesta :

Answer:

Option C.

Step-by-step 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.