### Home > A2C > Chapter Ch4 > Lesson 4.1.2 > Problem 4-26

4-26.

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 ✎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}.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.

The graph has a vertex at (−3, −8), opens up, and is vertically stretched.

Refer to problem A2C 4-19.