Question

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

Answer 1

y equals a number minus 5 add 77 to the graph of y equals x minus 1 squared minus 2

Answer 2

It moved 6 units leftwards and 9 units downwards

Explanation:

The given functions are

`y=(x-5)^(2) +7\\y=(x+1)^(2)-2`

Basically, these functions described the function before the translation and after the translation.

You can observe that the number with the x-variable changed from 5 to -1, the function was initially at x=5, and changed to x=-1. So, the function horizontally moved 6 units to the left.

Obseve that the constant term changed from 7 to -2, this means the function was intially at y=7, and changed to y=-2. So, the function vertically moved 9 units downwards.

Therefore, the phrase that best describes the translation is "it moved 6 units leftwards and 9 units downwards".