Question

make a table of values for the following equation. then graph the
y = |x + 1|
complete the table of values below.

x	y
-3		-3 + 1	= 2
-1		-1 + 1	= \square
0		0 + 1	= \square
1		1 + 1	= \square
3		3 + 1	= \square

(simplify your answers.)

Explanation:

Step1: Calculate for \( x = -1 \)

Substitute \( x = -1 \) into \( y = |x + 1| \), we get \( |-1 + 1| = |0| = 0 \).

Step2: Calculate for \( x = 0 \)

Substitute \( x = 0 \) into \( y = |x + 1| \), we get \( |0 + 1| = |1| = 1 \).

Step3: Calculate for \( x = 1 \)

Substitute \( x = 1 \) into \( y = |x + 1| \), we get \( |1 + 1| = |2| = 2 \).

Step4: Calculate for \( x = 3 \)

Substitute \( x = 3 \) into \( y = |x + 1| \), we get \( |3 + 1| = |4| = 4 \).

Answer:

For \( x = -1 \), \( y = 0 \); for \( x = 0 \), \( y = 1 \); for \( x = 1 \), \( y = 2 \); for \( x = 3 \), \( y = 4 \).

Filling the table:

\( x \)	\( y \)
\( -1 \)	\(	-1 + 1	= 0 \)
\( 0 \)	\(	0 + 1	= 1 \)
\( 1 \)	\(	1 + 1	= 2 \)
\( 3 \)	\(	3 + 1	= 4 \)