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.

coordinate plane image omitted

Explanation:

Step1: Choose x-values, solve for y

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

• For $x=-2$: $y=|-2|+2=2+2=4$ → $(-2, 4)$
• For $x=-1$: $y=|-1|+2=1+2=3$ → $(-1, 3)$
• For $x=0$: $y=|0|+2=0+2=2$ → $(0, 2)$
• For $x=1$: $y=|1|+2=1+2=3$ → $(1, 3)$
• For $x=2$: $y=|2|+2=2+2=4$ → $(2, 4)$

Step2: Plot points, draw the graph

Plot the 5 points, then draw a V-shaped line through them, extending outward along the grid.

Answer:

Points to plot: $(-2, 4)$, $(-1, 3)$, $(0, 2)$, $(1, 3)$, $(2, 4)$
The graph is a V-shaped curve with vertex at $(0, 2)$, opening upward, symmetric across the y-axis.