A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-5,-4). What is the vertex of the function defined as g(x)=-f(x)+2

Answer 1

We do this in 2 steps.

First we take -f(x) which is a reflection in the x-axis so now we are at (-5,4).

Then we move the whole thing up 2 units bringing us to (-5,6).

(Note that it does not matter whether the parabola opens up or down.)