Question

use technology to find points and then graph the function $y = |x + 5| + 5$, following the instructions below.
done plotting points
plot at least five points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Choose x-values, solve for y

Pick $x=-10, -7, -5, -3, 0$ (5 values centered at the vertex x=-5)

• For $x=-10$: $y=|-10+5|+5=|-5|+5=5+5=10$
• For $x=-7$: $y=|-7+5|+5=|-2|+5=2+5=7$
• For $x=-5$: $y=|-5+5|+5=|0|+5=0+5=5$
• For $x=-3$: $y=|-3+5|+5=|2|+5=2+5=7$
• For $x=0$: $y=|0+5|+5=|5|+5=5+5=10$

Step2: List valid coordinate points

The points are $(-10, 10), (-7, 7), (-5, 5), (-3, 7), (0, 10)$

Answer:

Plot the following 5 points on the graph:
$(-10, 10)$, $(-7, 7)$, $(-5, 5)$, $(-3, 7)$, $(0, 10)$
(Connecting these points will form the V-shaped graph of the absolute value function, with vertex at $(-5, 5)$)