SOLUTION: graph y=|x|+3

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Question 122658: graph y=|x|+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph y=abs%28x%29%2B3 we need to plot some points. In order to find some points, we need to plug in some x values

y=abs%28x%29%2B3 Start with the given equation


y=abs%28-2%29%2B3 Plug in x=-2


y=2%2B3 Evaluate the absolute value of -2 to get 2


y=5 Add


So our first point is (-2,5)


Let's plot the 1st point (-2,5)



Let's find the 2nd point

y=abs%28x%29%2B3 Start with the given equation


y=abs%28-1%29%2B3 Plug in x=-1


y=1%2B3 Evaluate the absolute value of -1 to get 1


y=4 Add

So our 2nd point is (-1,4)


Plot the 2nd point (-1,4)




Let's find the 3rd point

y=abs%28x%29%2B3 Start with the given equation


y=abs%280%29%2B3 Plug in x=0


y=0%2B3 Evaluate the absolute value of 0 to get 0


y=3 Add

So our 3rd point is (0,3)



Plot the 3rd point (0,3)





Let's find the 4th point

y=abs%28x%29%2B3 Start with the given equation


y=abs%281%29%2B3 Plug in x=1


y=1%2B3 Evaluate the absolute value of 1 to get 1


y=4 Add

So our 4th point is (1,4)



Plot the 4th point (1,4)





Let's find the 5th point

y=abs%28x%29%2B3 Start with the given equation


y=abs%282%29%2B3 Plug in x=2


y=2%2B3 Evaluate the absolute value of 2 to get 2


y=5 Add

So our 2nd point is (2,5)



Plot the 5th point (2,5)



Now draw a line through all of the points to graph y=abs%28x%29%2B3





Answer:
So the graph of y=abs%28x%29%2B3 is

graph%28+700%2C+700%2C+-10%2C+10%2C+-10%2C+10%2Cabs%28x%29%2B3%29