Question

Describe the translation. y=(x−2)2+5 → y=(x+2)2−3

Answer 1

The translation is 4 units left and 8 units down

Explanation:

we have

`y=(x-2)^(2)+5`

This is a vertical parabola open upward with a vertex at (2,5)

`y=(x+2)^(2)-3`

This is a vertical parabola open upward with a vertex at (-2,-3)

so

The rule of the translation of

(2,5) -----> (-2,-3)

is equal to

(x,y) ------> (x-4,y-8)

That means-----> The translation is 4 units left and 8 units down