Write the function whose graph is the graph of y = x 3 ,but is:Each situation must be on a different graph.1. Shifted to the left 4 units.2.Shifted down 4 units.3.Reflected about the x axise.4.Horizontall stretched by a factor of 4.

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Write the function whose graph is the graph of   y  =      x          3      ,but is:Each situation must be on a different graph.1. Shifted to the left 4 units.2.Shifted down 4 units.3.Reflected about the x axise.4.Horizontall stretched by a factor of 4.

Carassial3 · Accepted Answer

y  =  (  x      )          3      1) to shift from side to side: add or subtract the units inside theparenthesis, + is to the left and - is to the right.......  y  =  (  x  +  4      )          3      2)to shift up and down: add or subtract the units outside theparenthesis, + is up and - is down.......  y  =  (  x      )          3        −  43) To reflect about the x-axis, distribute a - sign to y... like   −  y  =      x          3       which is the same as   y  =  −  (  x      )          3      4) To stretch or shrink horizontally, multiply x by the reciprocalof the factor you want to shrink/stretch it by, in this case its 4so multiply x by 1/4.....  y  =  (  (  1      /    4  )  x      )          3

Write the function whose graph is the graph of y=x^3,but is: Each situation must be on a different graph. 1. Shifted to the left 4 units. 2.Shifted down 4 units. 3.Reflected about the x axise. 4.Horizontall stretched by a factor of 4.

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