Question

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 3). What is the vertex of the function defined as g(x) = f(x) + 2?

Answer 1

The vertex of the function g(x) = f(x) + 2 is (-6, 5).

Step-by-step explanation:

The vertex of a quadratic function is given by the coordinates (h, k), where h represents the x-coordinate and k represents the y-coordinate. In this case, the vertex of the original quadratic function is (-6, 3). To find the vertex of the function defined as g(x) = f(x) + 2, we need to add 2 to the y-coordinate.

Therefore, the vertex of g(x) is (-6, 5). This means that the parabola representing the function g(x) is shifted vertically upward by 2 units compared to the original parabola.