SOLUTION: y=1|-1x+5|+4

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Question 892306: y=1|-1x+5|+4
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The factor, 1 does not do anything.
The factor, -1 on x simply makes this -x.

y=abs%28-x%2B5%29%2B4.

Either -x+5 is greater or equal to zero OR -x+5 is less than zero.

Either abs%28-x%2B5%29=-x%2B5 and then
y=-x%2B5%2B4
y=-x%2B9

OR
abs%28-x%2B5%29=x-5 and then
y=x-5%2B4
y=x-1

The critical value for x is at x=5, at which the sign of the absolute value input changes. AT x=5, y=4.