2. Quadratic Functions
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Make a table of values and connect the points with a parabola.
We want to graph the given quadratic function.
y=- x^2 - 2
| x | - x^2 - 2 | y=- x^2 - 2 |
|---|---|---|
| 0 | - ( 0)^2 - 2 | - 2 |
| 1 | - ( 1)^2 - 2 | - 3 |
| 2 | - ( 2)^2 - 2 | - 6 |
| 3 | - ( 3)^2 - 2 | - 11 |
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.