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)-3g(x)=f(x)−3?

Answer 1

f(x) with vertex (3,6) is y=a(x-3)^2 + 6

g(x) = f(x)-3 means the vertex is shifted down 3 units to (3,3)

the new equation is y=a(x-3)^2 + 3