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Drag each tile to the correct box.
Each function is a transformation of the parent sine function. Based on the period, which graph represents each transformed function?

Drag each tile to the correct box Each function is a transformation of the parent sine function Based on the period which graph represents each transformed func class=
Drag each tile to the correct box Each function is a transformation of the parent sine function Based on the period which graph represents each transformed func class=
Drag each tile to the correct box Each function is a transformation of the parent sine function Based on the period which graph represents each transformed func class=

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tushargupta0691

The first graph represents sin(2x), the second graph represents sin(-x) and the third graph represents sin(x/2) .

There are some rules for transformation of graph of various functions which are as follows :-

  • For F(x) →f(−x) = Reflection about the y-axis
  • For F(x) → f(ax) =  It will depend upon value of a chosen
  1. If |a|>1 then f(ax) is f(x) squashed horizontally by a factor of a
  2. If 0<|a|<1 then f(ax) is f(x) is stretched horizontally by factor of a
  3. If a<0 then is f(ax) is  f(x) also reflected in the y-axis

 By keeping in mind these rules it is easily observable that the first graph is sinx squashed horizontally by a factor of 2 while second graph is reflection of sinx about the y-axis and the third graph is sinx horizontally stretched by a factor of 2.

Thus the first graph represents sin(2x), the second graph represents

sin(-x) and the third graph represents sin(x/2)

Learn more about Trigonometry here :

https://brainly.com/question/13710437

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