Ok so today we pretty much graphed our Absolute Value equations and got a little bit more complicated with them. First we learned how to find the
Vertex of the equation. When there is no number being added or subtracted from X inside the Absolute Value Bars, then you don't move at all. If there is, then it tells you to move horrizontally on the graph.
But be careful! you move
left if the number is added to X and
right if its being subtracted from X.
For Example if you have y=l x+3 l then you would move 3 to the left on your graph
if you have y=l x-2 l then you would move 2 to the right on your graph
The Y value is much less complicated and is not within the absolut value bars. You can just look at the number being added or subtracted OUTSIDE THE BARS
For example if you have y=l x l +3 then you would move 3 up on your graph (0,3)
if you have y=l x l -2 then you would move down 2 on your graph (0,-2)
These will also be in the same equation
y=l x + 4 l -2
the vertex here would be (-4, -2)
There will also be numbers being multiplied by the absolute value equation. This determines the slopes of the lines that meet at the vertex. The lines have the same slope except for they are negative. When the number is Higher (such as 5) the V will appear more narrow. When the number is smaller (such as 1/2) the V will appear wider. If the number is negative then the V is upside-down.
For Example If you have y= 3l x l then you will have the line on the right's slope as 3/1 (the line on the left will just be -3) and it will be opening up with the vertex at (0,0)
if you have y= -1/4l x l -2 then you will move down 2 on the y axis and the line on the right's slope will be -1/4 (the line on the left will be 1/4) and will be opening down with the vertex at (0,-2)
Check the Class notes to see graphs!!!
Today we worked to synthesize the STANDARD ABSOLUTE VALUE FORM
y= a l x - h l + k CHECK THE NOTESThe notes will explain it from here on out, but if you have any questions, that sucks because my scribe is complete