Question

use technology to find points and then graph the function $y = |x - 2| - 2$, 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 $x = 0, 1, 2, 3, 4$ (5+ values)

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

Step2: List valid coordinate points

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

Step3: Plot points on the grid

Mark each coordinate pair on the provided axes.

Answer:

Points to plot:
$(-1, 1)$, $(0, 0)$, $(1, -1)$, $(2, -2)$, $(3, -1)$, $(4, 0)$
(Connect these points to form a V-shaped graph with vertex at $(2, -2)$)