Question

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting

parabola is (-6, 6). What is the vertex of the function defined as g(x) = f(= - 2)?

Answer 1

y=f(x) has vertex (-4,6)

g(x)=-f(x-2) shifts the graph 2 units to the right, not to the left, and the graph is reflected over the x-axis

therefore the vertex is (-2,6) and the reflection over the x-axis has no affect on the vertex