Question

use transformations of f(x)=x^2 to graph the following function g(x)= -3(x-1)^2 +1

Answer 1

Any idea how the graph of f(x)=x^2 looks like?

Answer 2

It's a parabola

Answer 3

The direction of the opening will be down, hence the negative sign, it will be a vertical expansion by 3 and horizontal translation 1 unit to the right, and a vertical translation by 1 unit up. g(x) = -3(x-1)^2+1