Determine the equation of g(x) that results from translating the function f(x)=(x+8)^2 to the right 13 units

Question

I really just want the answer accompanied by the steps so that I can better understand how this works. Thank you. 

Answer 1

In a function in the form f(x) = (x - h)² + k, the vertex is at (h, k). Notice the minus sign before the "h."

 

In the given function, f(x) = (x - (-8))². The vertex is at x = -8.

 

Moving the graph thirteen units to the right takes the x-coordinate to 5  (-8 + 13)

 

The translated function is f(x) = (x - 13)².