Explain to her how she can get a good sketch of the graph of the function
without using a calculator and without making an → table. Be sure to explain how to locate the vertex, whether the parabola opens up or down, and how its shape is related to the shape of the graph of .
There is a squared term, so this is a parabola.
The stretch factor is
. How does this affect the graph?
Where is the vertex?
Your friend also needs to know the
‑ and ‑intercepts. Help her determine them without drawing an accurate graph or using a graphing calculator.
You can find the
- and - intercepts by solving for when and by solving for when .