1. Quadratic Graphs and Their Properties
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Make a table of values and connect the obtained points with a parabola.
Graph:
Vertex: (0,0)
To do so, we will make a table of values.
| x | - 3x^2 | y=- 3x^2 |
|---|---|---|
| 0 | - 3( 0)^2 | 0 |
| 1 | - 3( 1)^2 | - 3 |
| 2 | - 3( 2)^2 | - 12 |
Note that, since the given function has the form y=ax^2, the axis of symmetry is the vertical line x=0. Let's now plot the obtained points and their reflection across the axis of symmetry, and connect them with a parabola.
Recall that the highest or lowest point of a parabola is its vertex, which is on the axis of symmetry. In this case, we see above that the maximum point of the parabola is (0,0).