SOLUTION: Write a function whose graph represents the indicated transformation of the graph of f. f(x)=|x+3|; vertical shrink by factor of 1/4 and a translation 4 units up.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a function whose graph represents the indicated transformation of the graph of f. f(x)=|x+3|; vertical shrink by factor of 1/4 and a translation 4 units up.      Log On


   

Question 1080177: Write a function whose graph represents the indicated transformation of the graph of f. f(x)=|x+3|; vertical shrink by factor of 1/4 and a translation 4 units up.
Answer by ikleyn(52800) About Me  (Show Source):
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Write a function whose graph represents the indicated transformation of the graph of f. f(x)=|x+3|; vertical shrink by factor
of 1/4 and a translation 4 units up.
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1.  After vertical shrink by factor of 1/4

          (I'd said "vertical extension by factor of 1/4 . . . ")


    g(x) = %281%2F4%29%2Af%28x%29 = %281%2F4%29%2Aabs%28x%2B3%29.



2.  After translation 4 units up

    h(x) = g(x) + 4 = %281%2F4%29%2Aabs%28x%2B3%29+%2B+4.




Plot f(x) = abs%28x%2B3%29 (red), g(x) = %281%2F4%29%2Aabs%28x%2B3%29 (green), and h(x) = %281%2F4%29%2Aabs%28x%2B3%29%2B4 (blue).