Your friend is taking an algebra class at a different school where she is not allowed to use a graphing calculator. Explain to her how she can get a good sketch of the graph of the function y = 2(x + 3)² − 8 without using a calculator and without having to make an x → y table. Homework Help ✎

1. Be sure to explain how to locate the vertex, whether the parabola should open up or down, and how its shape is related to the shape of the graph of y = x².

2. Your friend also needs to know the x- and y-intercepts. Show her how to find them without having to draw an accurate graph or use a graphing calculator.