SOLUTION: find an equation for the graph that has the shape of |x|, but shifted left 9 units and 3 upwards units

Algebra ->  Functions -> SOLUTION: find an equation for the graph that has the shape of |x|, but shifted left 9 units and 3 upwards units       Log On


   

Question 888590: find an equation for the graph that has the shape of |x|, but shifted left 9 units and 3 upwards units
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Original: y = |x|

Shift left 9 units: y = |x+9|

Shift up 3 units: y = |x+9|+3

Answer: y = |x+9|+3

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+abs%28x%29+
First, to shift it up +3+ units:
+f%28x%29+=+abs%28x%29+%2B+3+
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Then, to shift the function left +9+ units,
+f%28x%29+=+abs%28+x+%2B+9+%29+%2B+3+
----------------------------
Here are plots of the original function and
the modified one:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+abs%28x%29%2C+abs%28+x%2B9+%29+%2B+3++%29+