SOLUTION: What are the steps to graphing the function y=-2|x-5|and compare the graph of y=|x| I was absent for 3 days and am trying to follow the text book and it is not helping. I've been

Algebra ->  Rational-functions -> SOLUTION: What are the steps to graphing the function y=-2|x-5|and compare the graph of y=|x| I was absent for 3 days and am trying to follow the text book and it is not helping. I've been       Log On


   

Question 231507: What are the steps to graphing the function y=-2|x-5|and compare the graph of y=|x| I was absent for 3 days and am trying to follow the text book and it is not helping. I've been looking at many websites and I am stuck.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the equation was just
y+=+abs%28x-5%29, then
y%285%29+=+0,
If x+%3E+5, y+%3E+0, also
If x+%3C+5, y+%3E+0
So, this is just abs%28x%29 shifted 5 units to the right
plotting:
+graph%28+400%2C+400%2C+-8%2C+8%2C+-8%2C+8%2C+abs%28x%29%2Cabs%28x-5%29%29+
Now I have to factor in -2. But first think. If I have
an expression for x which equals y, and I multiply
that expression by some number greater than zero, what does that do to
y? It makes every y greater, and that makes the slope
of the line steeper. The minus sign means the function gets
flipped over vertically.
Now I'll plot again abs%28x%29 and -2%2Aabs%28x-5%29
+graph%28+400%2C+400%2C+-8%2C+10%2C+-8%2C+8%2C+abs%28x%29%2C-2%2Aabs%28x-5%29%29+