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.
f(x)=x^2+4
| x | x^2+4 | f(x)=x^2+4 |
|---|---|---|
| 0 | 0^2+4 | 4 |
| 2 | 2^2+4 | 8 |
| 4 | 4^2+4 | 20 |
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.