Question

A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3, -6)(3,−6). What is the vertex of the function defined as g(x)=f(x)+2g(x)=f(x)+2?

Answer 1

Answer: (3,-4)

Step-by-step explanation:

The vertex of f(x) is (3,-6)

The vertex of g(x) is (3,-4). We keep the x coordinate the same, but add 2 to the y coordinate. This shifts the vertex 2 units up.