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 | - x^2-3 | f(x)=- x^2-3 |
---|---|---|
0 | - ( 0)^2-3 | -3 |
2 | - ( 2)^2-3 | - 7 |
4 | - ( 4)^2-3 | - 19 |
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.