Question

Graph: y = x + 2 + 1

Answer 1

see attachment

Explanation:

To find:-

• The graph of the given equation,
  `y = |x+2|+1`

Answer:-

To find out the graph of the given equation, we need to find some points through which the graph paases. We can do so by substituting some values of "x" , and then finding out the value of y. Using the coordinates we can plot the graph.

1) Substituting x = "-2" :-

`\longrightarrow y = |-2+2|+1 \\`

`\longrightarrow y = 0 + 1 =\boxed{1}\\`

Hence we got one of the coordinates as (-2,1) .

2) Susbstitue x = "1" :-

`\longrightarrow y = |1+2|+1\\`

`\longrightarrow y = 3+1 =\boxed{4} \\`

Hence the second coordinate to plot is (1,4) .

3) Substituting x = "-4" :-

`\longrightarrow y = |-4+2|+1 \\`

`\longrightarrow y = |-2|+1 \\`

`\longrightarrow y = 2+1 =\boxed{3}\\`

Hence the third coordinate to plot is (-4,3) .

Join these coordinates by drawing a line . The graph of the same has been attached.