Interpreting Quadratic Functions in Standard Form

We want to graph the given quadratic function. $f (x) = - 3 x^{2}$ To do so, we will make a table of values.

$x$	$- 3 x^{2}$	$f (x) = - 3 x^{2}$
$- 2$	$- 3 (- 2)^{2}$	$- 12$
$- 1$	$- 3 (- 1)^{2}$	$- 3$
$0$	$- 3 (0)^{2}$	$0$
$1$	$- 3 (1)^{2}$	$- 3$
$2$	$- 3 (2)^{2}$	$- 12$

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 $(0, 0) .$

Interpreting Quadratic Functions in Standard Form 1.6 - Solution