Question

Graph y = | x | + 5 ?

Answer 1

graph{y=|x|+5 [-10, 10, -5, 5]}

You just plug in numbers for x and solve. But do recall the negative number inside the walls (|x|) rule.

Explanation:

So to graph y = |x|+5, you just need to plug in numbers for x and get your output which is y.

So let plug in about 2 data points.

We will plug in -3 for x.

y = |-3|+5

Now, we have a negative inside the wall/bar (also known as | |). Now, as the absolute value states that when a negative number is inside the bar, the number becomes positive when taking it out unless you have to multiply it by another number that is on the left side of the bar. (aka -|x|-5)

So we take the negative number outside of the house and get
y=3+5
y = 8

So our first coordinate point is (-3, 8)

Let plug in 2 for x.
y = |2|+5
y = 2+5
y = 7

(2, 7)