-23 Your friend is taking an algebra class at a different school where she is not allowed to
use a graphing calculator.
a. 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.
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.
b. 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.