Question

Which equation represents the graph

Answer 1

y= 3|x|+5

Explanation:

Remember the graph for |x| is shown on the attached picture

Since the picture you show tell us that y=5 when x=0

we have something like the following y=a|x|+5, where 'a' is a constant that represents the slope of the line (whether is the line from one side of the 'y' axis or from the other), we can see that, when x=1, y=8, so we have another point

we can use the equation for slopes using points 1 (0,5) and 2 (1,8)

thus we have that
`a=(8-5)/(1-0)=3`

So the answer is y= 3|x|+5