SOLUTION: How would I go about graphing the equation(s): y= |x-2| or: f(x) = |x - 4| + 1? Would |x-2| stay the same? Or would the - become a + ?

Algebra ->  Absolute-value -> SOLUTION: How would I go about graphing the equation(s): y= |x-2| or: f(x) = |x - 4| + 1? Would |x-2| stay the same? Or would the - become a + ?      Log On


   



Question 53360: How would I go about graphing the equation(s):
y= |x-2|
or:
f(x) = |x - 4| + 1?
Would |x-2| stay the same? Or would the - become a + ?

Found 2 solutions by 88chaos88, funmath:
Answer by 88chaos88(6) About Me  (Show Source):
You can put this solution on YOUR website!
|x-2| can only be positive.
For example: If x = 40: |40 - 2| = 38
If x=-40: |(-40) - 2| = 42
Same for the case for |x-4| + 1. The x-4 is worked out first and converted to a positive value before 1 is added.
So with that, you can get substitute a few values with x and get its corresponding y-coordinates. From there, you can plot the graph.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Absolute value graphs look like v's.
y=|x| looks like this numbers added on the inside of the absolute value causes horizontal shifts in the opposite direction of the number's sign. Numbers added on the outside of the absolute values cause a vertical shift in the same direction as the number's sign:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%29
y=|x-2| looks the same only it's shifted two units to the right:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x-2%29%29
y=|x-4|+1 looks the same only it's shifted 4 units right and one unit up.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x-4%29%2B1%29