Question

A quadratic function y = f ( x ) 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 g(x)=f(x)−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