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

The vertex of g(x) is (6,3).

Step-by-step explanation:

Quadratic Function

The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is the leading coefficient.

We know a quadratic function y=f(x) is represented by a parabola whose vertex is at (3,-3). Substituting in the equation:

The function g(x) is defined as:

Substituting f(x):

Operating:

This function is represented by a parabola with its vertex at (6,3).

The vertex of g(x) is (6,3).

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