Question

The parabola y=x^2is shifted down by 6 units and to the right by 5 units. What is the equation of the new parabola?

Answer 1

y = (x - 5)² - 6

Explanation:

The parabola y = x² is shifted down by 6 units

⇒ we get the parabola of the equation : y = x² - 6

Then , The parabola y = x² - 6 is shifted to the right by 5 units

⇒ the equation of the new parabola is y = (x - 5)² - 6