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

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

What is the equation of the function?

 

A)f(x)=−2sin(πx5)−4

 

B)f(x)=−2sin(5πx)+6

 

C)f(x)=−4sin(πx5)+2

 

D)f(x)=−4sin(x5)+2

 Feb 26, 2020
 #1
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+1

Sine function

sin x

 

Amplitude 4

4 sin x

 

midline =2      shifted up 2

 

4 sin x          + 2

 

reflected   means   -sinx

 

-4 sin x         + 2

 

 

period of 10     2pi/x = 10     x = 2pi/10 = pi x / 5

 

-4 sin ( pi/5  x)      + 2

 Feb 26, 2020
 #2
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Would it be pi x/5 or x/5?

Guest Feb 26, 2020
 #3
avatar+24889 
+1

pi x / 5     makes period  10   (what you asked for in your post)

 

x/5          makes period  10 pi

ElectricPavlov  Feb 26, 2020

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