How has the function y=-2f(1/3 x) been transformed from theoriginal function y=f

Question

How has the function y=-2f(1/3 x) been transformed from theoriginal function y=f(x)? a)Vertical compression by 1/2, reflection over the y axis,horizontal expansion by 3 b)Vertical expansion by 2, reflection over the x axis,horizontal expansion by 3 c)Vertical expansion by 2, reflection over the y axis,horizontal compression by 1/3 d)Vertical expansion by 2, reflection over the y axis,horizontal expansion by 3 How has the function y=-2f(1/3 x) been transformed from theoriginal function y=f(x)? a)Vertical compression by 1/2, reflection over the y axis,horizontal expansion by 3 b)Vertical expansion by 2, reflection over the x axis,horizontal expansion by 3 c)Vertical expansion by 2, reflection over the y axis,horizontal compression by 1/3 d)Vertical expansion by 2, reflection over the y axis,horizontal expansion by 3

Explanation / Answer

The minus sign out front of the function means a reflectionover the x-ais.    The factor of 2 out front means a vertical expansion orstretch by 2. The factor of 1/3 inside the parentheses means a horizontalexpansion by 3. CHOICE B.

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