Which phrase best describes the translation from the graph y = (x – 5)^2+ 7 to the graph of y = (x + 1)^2 – 2? answers a. 6 units left and 9 units down b.6 units right and 9 units down c.6 units left and 9 units up d.6 units right and 9 units up

Option A. 6 units left and 9 units down

Step-by-step explanation:

we know that

This is a vertical parabola open upward with the vertex at (5,7)

and

This is a vertical parabola open upward with the vertex at (-1,-2)

so

The rule of translation of

(5,7) ----> (-1,-2)

is equal to

(x,y)-----> (x-6,y-9)

That means-----> 6 units left and 9 units down