Question

Pedro drew the graph of y=4(x−7)2+3 . How should he transform that graph to produce the graph of y=4(x−12)2+3 ?

Answer 1

To transform the graph of y=4(x−7)2+3 to the graph of y=4(x−12)2+3, shift the graph 5 units to the right by subtracting 5 from the x-coordinate.

Step-by-step explanation:

To transform the graph of y=4(x−7)2+3 to the graph of y=4(x−12)2+3, Pedro should shift the graph 5 units to the right. This can be done by subtracting 5 from the x-coordinate. So, the new equation becomes y=4(x−(7-5))2+3. Simplifying this gives the equation y=4(x−2)2+3, which represents the graph of y=4(x−12)2+3.