The function g(x) = 8x2 – 48x + 65 written in vertex form is g(x) = 8(x – 3)2 – 7. What is the vertex of g(x)?

Question

The function g(x) = 8x2 – 48x + 65 written in vertex form is g(x) = 8(x – 3)2 – 7. What is the vertex of g(x)?

Answer 1

For a generic quadratic function, the vertex form is y = a(x-h)² + k

 

If you compare the equation y = 8(x-3)² - 7 to the generic form, you should be able to find what h and k are. The vertex is the point (h,k)