1. Quadratic Graphs and Their Properties
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Make a table of values and connect the points with a parabola.
Graph:
We want to graph the given quadratic function.
y=- 2x^2+4
| x | - 2x^2+4 | y=- 2x^2+4 |
|---|---|---|
| 0 | - 2( 0)^2+4 | 4 |
| 2 | - 2( 2)^2+4 | -4 |
| 4 | - 2( 4)^2+4 | - 28 |
Note that since the given function has the form y=ax^2+c the axis of symmetry is the vertical line x= 0. Now, let's plot the obtained points and their reflections across the axis of symmetry. Then we can connect them with a parabola.