Question

What is the range of y = (x - 5)^2 – 1?

Answer 1

1.  The graph is a parabola.

2. The parabola opens up, because there's no negative number in front of $(x-5)^2$.

3. The vertext is (5,-1), because of the vertex form.

This means that that -1 will be the least y-value used on the graph and the garph will open up from there.

The range is (-1, infinity) or { y | y > -1 }.