write y=6|x+3|-8 as a piecewise function, define √x^2

Question

anonymous · Answer

Find the vertex. Then find the two lines that meet at that vertex that make up the V. Then make those piecewise.

anonymous · Answer

is the vertex (-3,-8)?

myininaya · Answer

yep

anonymous · Answer

how do you find those two lines?

anonymous · Answer

Find the y intercept to find one of the lines, then the slope of the other is -that one.

anonymous · Answer

OMG i want that button in your profile pic!

anonymous · Answer

In other words, find the y intercept, use two points, make a slope, point slope form. The slope of the second is - that one, but remember, its moved as well. So point slope with the vertex.

anonymous · Answer

do you use these  same steps when you are changing an absolute value equation into a piecewise?

anonymous · Answer

I'm not sure, I just worked out how to do this in my head. I've never had to do this honestly.

anonymous · Answer

(-3,-8) dont forget medal

myininaya · Answer

f(x)= 6(x+3)-8  for x+3>0
       -6(x+3)-8 for x+3<0
        -8            for x+3=0