Question

graph the function.
$f(x) = -3x^2$
plot five points on the graph of the function: one point with $x = 0$, two points with negative $x$-values, and two points with positive $x$-values. then click on the graph - a - function button.

Explanation:

Step1: Calculate x=0 point

Substitute $x=0$ into $f(x)=-3x^2$:
$f(0)=-3(0)^2=0$
Point: $(0, 0)$

Step2: Calculate negative x points

Choose $x=-1$ and $x=-2$:
$f(-1)=-3(-1)^2=-3(1)=-3$ → Point: $(-1, -3)$
$f(-2)=-3(-2)^2=-3(4)=-12$ → Point: $(-2, -12)$

Step3: Calculate positive x points

Choose $x=1$ and $x=2$:
$f(1)=-3(1)^2=-3(1)=-3$ → Point: $(1, -3)$
$f(2)=-3(2)^2=-3(4)=-12$ → Point: $(2, -12)$

Answer:

Plot the five points: $(0, 0)$, $(-1, -3)$, $(-2, -12)$, $(1, -3)$, $(2, -12)$, then draw a downward-opening parabola through these points.