Sansa shifted the parabola y = x2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?

Question

a. y = x² + 3

B. y = x² + 9

C. y = x² + 6x + 9

d. y = x² – 6x + 9

Answer 1

To shift 3 units to the right, replace x with x-3, evaluate, and simplify.

x² → (x - 3)² = x² - 6x + 9