2. Quadratic Functions
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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+7
| x | 2x^2+7 | y=2x^2+7 |
|---|---|---|
| 0 | 2( 0)^2+7 | 7 |
| 1 | 2( 1)^2+7 | 9 |
| 2 | 2( 2)^2+7 | 15 |
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.