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

Translation of shifted 6 unit left and 9 units down.

Step-by-step explanation: Original given function .

Translated function .

We can see  is being transformed to

We can see transformation rule is being applied there.

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

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: