For the function y x2 if we add 2 to x we get y x 22 or

Question

Question: Solve the given problems.

Explain how to show the graph of the relation y² = 4x² on a graphing calculator, and then display it on the calculator. See Example.

EXAMPLE Shifting a graph horizontally

For the function y = x² if we add 2 to x, we get y = (x + 2)² or if we add -3 to x, y = (x - 3)² The graphs of these three functions are displayed in Fig. We see that the graph of we get y = (x + 2)² is 2 units to the left of y = x² and that the graph of y = (x - 3)² is 3 units to the right of y = x².