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, minus, 5, comma, 3, right bracket(−5,3). What is the vertex of the function defined as g, of, x, equals, f, of, x, minus, 3g(x)=f(x−3)?
To find the vertex of the function g(x) = f(x-3), we need to shift the vertex of the original function f(x) by 3 units to the right.
Given the vertex of the original function f(x) is (-5,3), the vertex of the shifted function g(x) = f(x-3) will have the same y-coordinate but x-coordinate shifted by 3 units to the right.
Therefore, the vertex of the function g(x) = f(x-3) will be (-5+3,3) = (-2,3).