### Home > CCA2 > Chapter Ch2 > Lesson 2.1.2 > Problem2-23

2-23.

Your friend is taking an algebra class at a different school where she is not allowed to use a graphing calculator. Homework Help ✎

1. 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 xy 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 $y=x^2$.

Where will the vertex be? Does the parabola open up or down? Is it vertically stretched?

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.

Substitute 0 for x and solve for y to find the y-intercepts.
Substitute 0 for y and solve for x to find the x-intercepts.