Question

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

(−4,−5). What is the vertex of the function defined as g(x)= f(-x)−4?

Answer 1

(-2,6)

Explanation:

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