1. The Pythagorean Theorem
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Make a table of values and connect the points with a parabola.
To do so, we will first make a table of values.
x | x^2-1 | y=x^2-1 |
---|---|---|
0 | ( 0)^2-1 | - 1 |
1 | ( 1)^2-1 | 0 |
2 | ( 2)^2-1 | 3 |
Note that since the given function has the form y=x^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.