SOLUTION: a function f is given and the indicated transformations are applied to its graph (in the given order). write the equation for the final graph. f(x) = |x| ; shift to the left 1

Algebra ->  Functions -> SOLUTION: a function f is given and the indicated transformations are applied to its graph (in the given order). write the equation for the final graph. f(x) = |x| ; shift to the left 1       Log On


   

Question 1166614: a function f is given and the indicated transformations are applied to its graph (in the given order). write the equation for the final graph.
f(x) = |x| ; shift to the left 1 unit, stretch vertically by a factor of 3, and shift upward 5 units.
thank you!’
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


given: f%28x%29+=+abs%28x%29

shift to the left 1 unit: f%28x%29+=+abs%28x%2B1%29
stretch vertically by a factor of 3: f%28x%29+=+3%2Aabs%28x%2B1%29
shift upward 5 units: f%28x%29+=+3%2Aabs%28x%2B1%29%2B5