2. Quadratic Functions
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Make a table of values and connect the points with a parabola.
Graph:
To do so, we will first make a table of values.
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.