Question

use technology to find points and then graph the function $y = -|x| - 2$, following the instructions below.

done plotting points

plot at least five points that fit on the axes below. click a point to delete it.

graph of coordinate plane with x-axis from -10 to 10 and y-axis from -10 to 10

Explanation:

Step1: Choose x-values, solve for y

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

• For $x=-2$: $y = -|-2| -2 = -2 -2 = -4$
• For $x=-1$: $y = -|-1| -2 = -1 -2 = -3$
• For $x=0$: $y = -|0| -2 = 0 -2 = -2$
• For $x=1$: $y = -|1| -2 = -1 -2 = -3$
• For $x=2$: $y = -|2| -2 = -2 -2 = -4$

Step2: List valid coordinate points

Points: $(-2, -4), (-1, -3), (0, -2), (1, -3), (2, -4)$

Answer:

The five points to plot are $(-2, -4)$, $(-1, -3)$, $(0, -2)$, $(1, -3)$, $(2, -4)$. When connected, they form a downward-opening V-shape with vertex at $(0, -2)$.