Question

graph the equation by plotting points.
$y = -2x^2$
to graph the equation, plot at least five points. then click on the graph icon.

Explanation:

Step1: Select x-values

Choose $x = -2, -1, 0, 1, 2$

Step2: Calculate y for x=-2

Substitute $x=-2$ into $y=-2x^2$
$y = -2(-2)^2 = -2(4) = -8$

Step3: Calculate y for x=-1

Substitute $x=-1$ into $y=-2x^2$
$y = -2(-1)^2 = -2(1) = -2$

Step4: Calculate y for x=0

Substitute $x=0$ into $y=-2x^2$
$y = -2(0)^2 = 0$

Step5: Calculate y for x=1

Substitute $x=1$ into $y=-2x^2$
$y = -2(1)^2 = -2(1) = -2$

Step6: Calculate y for x=2

Substitute $x=2$ into $y=-2x^2$
$y = -2(2)^2 = -2(4) = -8$

Answer:

Plot the following 5 points on the graph:
$(-2, -8)$, $(-1, -2)$, $(0, 0)$, $(1, -2)$, $(2, -8)$
Then connect the points to form a downward-opening parabola.