A quadratic function y, equals, f, of, xy=f(x) is plotted on a graph and the vertex of the resulting parabola is left bracket, 3, comma, minus, 4, right bracket(3,−4). What is the vertex of the function defined as g, of, x, equals, f, of, x, minus, 2g(x)=f(x)−2?
The vertex of the function defined as g(x) = f(x) - 2 is the same as the vertex of the original function f(x) shifted down by 2 units.
Therefore, the vertex of the function g(x) is (3, -4 - 2) = (3, -6).