Question 174215: Okay to make sure that I was on the right track witht his problem
Sketch the graph of each function or relation and state the domain and range.
y=|x|=-4
|x|-4=y
|x|=4+y
|x|=y+4
domain all real numbers range
x=+-(y+4)
x=y+4
x=-(y+4)
x=-y-4
x=y+4,-y-4
all real numbers and then to sketch the grapg wouldn't it come to like a v?
Answer by ilana(307)   (Show Source):
You can put this solution on YOUR website! I think you are making this excessively difficult for yourself.
I can't tell if the given equation was y=|x|- -4 or y-|x|=-4, but I am guessing what you did is mathematically correct, meaning the original equation was y=|x|- -4. So look at that equation compared to the parent function, y=|x|. This is just a "V" with its vertex at (0,0). Because for your equation, each value of y is the parent function's y-value, |x|, minus 4, each point is shifted down 4 units. So this will be a "V" that is shifted down so the vertex is at (0, -4).
Therefore, the domain is all real numbers and the range is all real numbers greater than or equal to -4.
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