We start with this basic squaring function which is y = x²Now the graph of (a) y = x² - 4 looks exactly like the graph of y = x² except that the - 4 added on the right shifts the graph down 4 units, and makes the graph drawn in green below: Now the graph of b) y = -x² also looks exactly like the graph of y = x² except that multiplying the right side by -1 reflects the graph across the x-axis (as if the x-axis were a mirror; the reflection would be the graph drawn in green below: --- d) y = 5x² This one is not going to look exactly like the graph of y = x² because multiplying the right side by 5, which is a number greater than 1, is going to stretch the graph vertically. It is the same as if the graph of y=x² had been drawn on a rubber sheet and the rubber sheet stretched 5 times its height. This stretched graph would be the graph drawn in green below: Edwin