Question

graph the function.
( h(x) = -3x^2 + 4 )
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 point at x=0

Substitute $x=0$ into $h(x)$:
$h(0) = -3(0)^2 + 4 = 4$
Point: $(0, 4)$

Step2: Calculate negative x-point 1

Choose $x=-1$:
$h(-1) = -3(-1)^2 + 4 = -3 + 4 = 1$
Point: $(-1, 1)$

Step3: Calculate negative x-point 2

Choose $x=-2$:
$h(-2) = -3(-2)^2 + 4 = -12 + 4 = -8$
Point: $(-2, -8)$

Step4: Calculate positive x-point 1

Choose $x=1$:
$h(1) = -3(1)^2 + 4 = -3 + 4 = 1$
Point: $(1, 1)$

Step5: Calculate positive x-point 2

Choose $x=2$:
$h(2) = -3(2)^2 + 4 = -12 + 4 = -8$
Point: $(2, -8)$

Answer:

Plot the following points and connect them to form the parabola:
$(0, 4)$, $(-1, 1)$, $(-2, -8)$, $(1, 1)$, $(2, -8)$