Question

draw the graph of y=|x|+2.

Answer 1

y=|x|+2.

Take value of x, get the value of y. You will get some ordered pairs.

Let x be -2

Now y =|-2|+2=4

(x, y) = (-2, 4)

Let x =2

Now y = 2+2=4

(x, y) = 2,4

You can plot the points, and you will get the graph of y=|x|+2.

Answer 2

Answer:

Step-by-step explanation:

First it is important o understand what is |x|?

lxl actually means modulus of x which is basically the positive value (or absolute value) of x.

Suppose x=2, then lxl= 2, but if x is a negative number like -5,for example, lxl= 5.

lxl=x for all values of x greater than or equal to 0

lxl= -x for all values of x less than 0

Let's now understand the equation: y = |x| + 2

For each  x  value, there is one  y  value. Select few  x  values from the domain. It would be more useful to select the values so that they are around the  x  value of the absolute value vertex.

1. Let x = -2

   y=|-2|+2

   y=2+2

   y=4

2. Let x = -1

   y=|-1|+2

   y=1+2

   y=3

3. Let x = 0, then y = 2

4. and x = 1, then y = 3

3. Let x = 2

   y=|2|+2

   y=2+2

   y=4

Now, you can plot the graph, check out the attached one.

- techbeamers.com