Question

Which phrase best describes the translation from the graph y = (x – 5)2 + 7 to the graph of y = (x + 1)2 – 2?

Answer 1

Answer:

6 units to the left and 9 units down.

Step-by-step explanation:

Coordinates of a vertex of a parabola f(x) = (x - h)² + k are (h, k)

Coordinates of the vertex of the function f(x) = (x - 5)² + 7 are (5, 7)

Coordinates of the vertex of the function g(x) = (x + 1)² - 2 are (- 1, - 2)

(5, 7) → (5 - 6, 7 - 9) → (- 1, - 2) ⇒ the rule is 6 units to the left and 9 units down.