The function g(x) is a transformation of the quadratic parent function, f(x) = X2. What function is g(x)?
if(x)
5
g(x)

g(x) = -4x²

Step-by-step explanation:

Quadratic parent function has been given as,

f(x) = x²

If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',

g(x) = -kx²

This quadratic function passes through a point (1, -4),

g(1) = -k(1)²

-4 = -k

k = 4

Therefore, the new function after transformation will be,

g(x) = -4x²