Question

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 - 12

Answer 1

The graph of y=x²-12 is the same with y=x², but moved 12 units to the left on the x axis. You can see that by setting x=0 in both equations. y=x² is a parabola with a minimum on x=0 and y=x²-12 is a parabola with a minimum on x=-12.