help
y = |x - 6| + 6
First look at the function
y=|x-6|,
when x>=6; (x-6) is >=0 so y=x-6
when x<6 (x-6) is negative so y=-(x-6)
but our y is 6 greater then the y we have looked at above so:
y.= x-6+6, ..when x>=6
..= -x+6+6, when x<6
or:
y.= x, ........when x>=6
..= -x+12, ..when x<6
which you should be able to sketch.
RonL
Hello, ^_^Engineer_Adam^_^!
This is easy if you're familiar with "translations".
Graph: y .= .|x - 6| + 6
We know that the graph of: y = |x| looks like this:Code:| * | * * | * * | * * | * - - - - - * - - - - - |
The graph of: y = |x - 6| is moved 6 units to the right.Code:| | * * | * * | * * | * * - - - - | - - - - - * - - - - - | 6
Then: y = |x - 6| + 6 has been moved up 6 units.Code:| | * * | * * | * * | * * 6+ * | | | - - - - + - - - - - + - - - - - - | 6
There!