Question

graph the equation $y = |x| + 5$. let $x = -3, -2, -1, 0, 1, 2,$ and $3$.
find the y - values for the following points on the graph of the equation

x	y
- 3
- 2
- 1
0
1
2
3

choose the correct graph of the equation.
a.
graph a
b.
graph b
c.
graph c
d.
graph d

Explanation:

Step1: Calculate y for x=-3

$y = |-3| + 5 = 3 + 5 = 8$

Step2: Calculate y for x=-2

$y = |-2| + 5 = 2 + 5 = 7$

Step3: Calculate y for x=-1

$y = |-1| + 5 = 1 + 5 = 6$

Step4: Calculate y for x=0

$y = |0| + 5 = 0 + 5 = 5$

Step5: Calculate y for x=1

$y = |1| + 5 = 1 + 5 = 6$

Step6: Calculate y for x=2

$y = |2| + 5 = 2 + 5 = 7$

Step7: Calculate y for x=3

$y = |3| + 5 = 3 + 5 = 8$

Step8: Match to correct graph

The points form a V-shape opening upward with vertex at (0,5), matching option A.

Answer:

Completed table:

x	y
-2	7
-1	6
0	5
1	6
2	7
3	8

Correct graph: A.