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The graph of a sine function has an amplitude of 2, a midline of y = 10, and a period of 4.

There is no phase shift. The graph is reflected over the x-axis.

What is the equation of the function?

a) f(x)=−4sin(2x)+2

b) f(x)=−2sin(πx/2)+10 (my answer)

c) f(x)=−2sin(πx/2)+2

d) f(x)=−2sin(2πx)+10 (maybe it's this one)

 Mar 26, 2020
 #1
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None of them are  correct

 

If  this  is  reflected over the x axis, then  an original  point  of (a, b)   is  translated  to   (a , -b)

 

The correct answer  is  

 

y = -2sin (pi * x/ 2)  -  10

 

See  the  graph here :  https://www.desmos.com/calculator/hyqgqsd5jr

 

BTW.....answer  (b)   is almost correct.....however...it reflects  the  function over  the midline  of 10   rather than over the x axis

 

 

cool cool cool

 Mar 27, 2020

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