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

A - 6 to the left 9 units down

Explanation:

just took the test and got it right :)

Answer 2

Answer: Translation of shifted 6 unit left and 9 units down.

Step-by-step explanation: Original given function
`y=(x-5)^2+7`.

Translated function
`y=(x+1)^2-2`.

We can see
`y=(x-5)^2+7` is being transformed to
`y=(x-5+6)^2+7-9.`

We can see
`y=f(x+c)-d` transformation rule is being applied there.

According to
`y=f(x+c)-d` transformation rule the function f(x) is being shifted c unit left and d units down.

Therefore,
`y=(x-5+6)^2+7-9.` is being shifted 6 unit left and 9 units down.