How do you graph y=4|x| using a table?

1 Answer
Neefgi
Mar 21, 2018

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Explanation:

Using a table for a function is the simplest way to find out roughly 5 key points to get a general idea of how a function works.

Remember, when using an absolute value function, our y values will always be positive, due to the conditions |x|

Since there are no horizontal shifts, it's a good idea to get two points left of the vertex, and right of the vertex, which is the origin (0,0):

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f(−2)=4|−2| becomes f(−2)=4(2)=8
f(−1)=4|−1| becomes f(−2)=4(1)=4
f(0)=4|−0| becomes f(−2)=4(0)=0
f(1)=4|1| becomes f(−2)=4(1)=4
f(2)=4|2| becomes f(−2)=4(2)=8

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