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

Answer 1

when f(-4)=3 is vertex for f(x), and g(x)=f(x)-5, then g(-4)=3-5=-2

vertex for g(x) is (-4,-2)

We only translated the y coordinate, so g()x) is exactly the same

as f(x) except it is moved down 5 units.