A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 6)(5,6). What is the vertex of the function defined as g(x)=f(x)-2g(x)=f(x)−2?

Answer 1

f(x) - 2 is simply f(x) translated downward along the y-axis by two units. Thus, if g(x) = f(x) - 2, g(x) is simply a vertical translation of f(x) and the vertex is (5, 4).