Question

g(x)=2x² - 2
plot five points on the graph of the function: one point with x=0, two points with negative x-values, and two points w values. then click on the graph-a-function button.

Explanation:

Step1: Calculate point at $x=0$

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

Step2: Calculate negative $x=-1$ point

Substitute $x=-1$ into $g(x)$:
$g(-1)=2(-1)^2-2 = 2-2=0$
Point: $(-1, 0)$

Step3: Calculate negative $x=-2$ point

Substitute $x=-2$ into $g(x)$:
$g(-2)=2(-2)^2-2 = 8-2=6$
Point: $(-2, 6)$

Step4: Calculate positive $x=1$ point

Substitute $x=1$ into $g(x)$:
$g(1)=2(1)^2-2 = 2-2=0$
Point: $(1, 0)$

Step5: Calculate positive $x=2$ point

Substitute $x=2$ into $g(x)$:
$g(2)=2(2)^2-2 = 8-2=6$
Point: $(2, 6)$

Answer:

The five points are: $(0, -2)$, $(-1, 0)$, $(-2, 6)$, $(1, 0)$, $(2, 6)$ (plot these points on the coordinate grid and use the graph-a-function tool to connect them into a parabola)