Question

Make a table of values for the equation, then graph the equation. Y=|x+2|-1
Complete the table below.

Answer 1

Answer:

Table shown below

Step-by-step explanation:

Absolute Value Function

The absolute value of any number is the unsigned magnitude of the number. For example,

$|-5|=5$

$|8|=8$

$|-2.3|=2.3$

For any more complex expression, we just take the absolute value where indicated, and then proceed with the rest of the calculations

We are given the function

$y=|x+2|-1$

And we need to compute the values of y for some values of x and complete the table

For x=-5

$y=|-5+2|-1=|-3|-1=3-1=2$

For x=-3

$y=|-3+2|-1=|-1|-1=1-1=0$

For x=-1

$y=|-1+2|-1=|1|-1=1-1=0$

For x=0

$y=|0+2|-1=|2|-1=2-1=1$

For x=1

$y=|1+2|-1=|3|-1=3-1=2$

For x=3

$y=|3+2|-1=|5|-1=5-1=4$

For x=5

$y=|5+2|-1=|7|-1=7-1=6$

The table is shown below