We want to graph the given quadratic function. f(x)=-3x2 To do so, we will make a table of values.
x | -3x2 | f(x)=-3x2 |
---|---|---|
-2 | -3(-2)2 | -12 |
-1 | -3(-1)2 | -3 |
0 | -3(0)2 | 0 |
1 | -3(1)2 | -3 |
2 | -3(2)2 | -12 |
Let's plot and connect the obtained points with a parabola.
Recall that the highest or lowest point of a parabola is its vertex, which is on the axis of symmetry. In this case, we see above that the maximum point of the parabola is (0,0).