I need to solve this math problem

Question

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (4,3). What is the vertex of the function defined as g(x)=f(x+2)?

Answer 1

If you are given the location of the vertex, use the vertex form:

f(x) = a·(x-h)² + k

where a is a constant and (h,k) is the location of the vertex. In your case (h,k) = (4,3), so:

f(x) = a·(x-4)² + 3

For f(x+2), replace x with x+2:

f(x+2) = a·(x+2-4)² + 3

f(x+2) = a·(x-2)² + 3

What are the h and k values for f(x+2)?