find g(x), where g(x) is the translation 5 units left of f(x)-x^2.

Question

Write your answer in the form a(x-h)^2+k, where a, h, and k are integers

Answer 1

To shift f(x) = x² five units to the left, you need to change the h value to +5:

g(x) = (x + 5)²

It is not necessary to change the a or k values, because the only transformation needed is a shift of 5 to the left. In other words, we didn't need to move it up or down, or perform any other transformations. Therefore, the answer is: g(x) = (x + 5)²

Great question!

Answer 2

If f(x) = x²

g(x) = (x + 2)² is f(x) shift 2 units to the left.