SOLUTION: The graph of the absolute value parent function is shifted two units left and five units down, the vertically stretched by a factor of three. Write the equation of the new function

Algebra ->  Equations -> SOLUTION: The graph of the absolute value parent function is shifted two units left and five units down, the vertically stretched by a factor of three. Write the equation of the new function      Log On


   

Question 1167642: The graph of the absolute value parent function is shifted two units left and five units down, the vertically stretched by a factor of three. Write the equation of the new function in vertex form .
Answer by ikleyn(52786) About Me  (Show Source):
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The graph of the absolute value parent function is shifted two units left and five units down,
highlight%28cross%28the%29%29 then vertically stretched by a factor of three.
Write the equation of the new function in vertex form .
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If  y = f(x) is the parent function,  then the requested function is   y = f(3(x+2)) - 5.



                Illustration 

If the parent function is  y = |x|, then the requested function is  y = |3*(x+2)| - 5.


See the plot below.



    


    Plot y = |x| (the parent function, red), y = |3*(x+2)| - 5 (new function, green).