Question

HELP ASAP f(x)=x² what is g(x)?

Answer 1

Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have

g(x) = k • f(x) = kx² = (√k x)²

The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means

g(1) = (√k • 1)² = 4

and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.