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

6 units left and 9 units down
6 units right and 9 units down
6 units left and 9 units up
6 units right and 9 units up

A. 6 units left and 9 units down

Step-by-step explanation:

Given:

y = (x – 5)^2 + 7

y = (x +1)^2 - 2

The graph of y = (x – 5)^2 + 7 is a parabola 5 units right and 7 units up

The graph of y =  (x +1)^2 - 2 is a parabola 1 unit left and 2 units down

Transformation is the difference in the shift

Transformation = 6 units left and 9 units down.

Therefore, answer A. 6 units left and 9 units down