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

f(x) has vertex (-5,-4)

f(x) = a(x+5)^2 -4

-f(x) = -a(x+5)^2 + 4 with vertex (-5,4)

-f(x) +2 = g(x) = -a(x+5)^2 + 6 with vertex (-5, 6)