1. Quadratic Graphs and Their Properties
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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 | 1/2x^2+2 | y=1/2x^2+2 |
---|---|---|
0 | 1/2( 0)^2+2 | 2 |
2 | 1/2( 2)^2+2 | 4 |
4 | 1/2( 4)^2+2 | 10 |
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.