Question

A quadratic function

y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3,5). What is the vertex of the function defined as g(x)=f(x)−3

Answer 1

(-3, 2)

Explanation:

reflect over the y axis, and then shift down 3 units.

Answer 2

Since g(x) is a transformation of f(x) and the "-3" is outside the f(x) notation, the transformation will effect the y-values of the points on the graph of f(x).

What will subtracting 3 from every y-value of every point on the graph of f(x) do to the graph?

And more specifically, what will that do to the vertex that was at the point (3,5)?