At the vertex, the function changes from increasing to decreasing, or vice versa.
For the quadratic function create a table of values to graph it. Then determine its direction, vertex, zeros, and axis of symmetry.
We'll plot these points on a coordinate plane.
We can start to see the left-hand side of the parabola. Let's add a few more -values to the table to determine a more complete shape.
We'll add these points to the coordinate system as well.
Looking at the points, we now see both sides of the parabola. We can connect the points with a smooth curve.
The graph can be used to describe the desired characteristics of the parabola.
Three quadratic functions are graphed in the coordinate plane.
For each graph, match it with the corresponding characteristics.
Instead of looking at each function separately, we'll look at the characteristics individually and summarize our findings in a table at the end.
|axis of symmetry|
|zeros||and||not applicable||not applicable|