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

Step3: Calculate positive x points

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

Answer:

Plot the following five points on the grid, then use the graph-a-function button:

1. $(0, 0)$
2. $(-1, -3)$
3. $(-2, -12)$
4. $(1, -3)$
5. $(2, -12)$

The graph will be a downward-opening parabola with vertex at $(0,0)$.