A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 3)(−6,3). What is the vertex of the function defined as g(x)=f(x-4)-5g(x)=f(x−4)−5?

Question

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (−6,3). What is the vertex of the function defined as g(x)=f(x−4)−5?

Answer 1

g is f shifted right 4 and down 5

(-6,3) becomes (-6+4,3-5)= (-2,-2)