Trig Graph Review

Which is the equation of the graph shown?

• y = sin(2x)

• y=2cos(x)

• y= cos (2x)

• y= 2 sin (x)

Answer explanation

This is a sin graph because it starts on the midline.

y = Asinx

The amplitude is two because the maximum is 2 above the midline (x-axis).

Tags

CCSS.HSF-IF.C.7E

Which is the graph of the equation y = -sin(x)?

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Answer explanation

The negative flips the graph.

Tags

CCSS.HSF-IF.C.7E

Which graph represent the equation

 $y\ =\ \cos\ \frac{1}{2}x?$  

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Answer explanation

The 1/2 is the frequency of this trig function. It means we will only see half of an entire cos curve after a rotation of 360 degrees.

Tags

CCSS.HSF-IF.C.7E

Which trig function is shown in the graph?

• $f\left(x\right)=2\sin x$

• $f\left(x\right)=\cos2x$

• $f\left(x\right)=2\cos x$

• $f\left(x\right)=\sin2x$

Answer explanation

This is a cos function because it starts at the maximum value.

The amplitude is 2 because the max is 2 above the x-axis.

y = Acosx

Tags

CCSS.HSF-IF.C.7E

Which graph represents the function 

 $f\left(x\right)=-\sin x\$  in the interval  $-\pi\le x\le\pi?$  

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Tags

CCSS.HSF-IF.C.7E

The graphs below show the average annual precipitation received at different latitudes on Earth. Which graph is a translated cosine curve?

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Answer explanation

Translated means the whole graph was shifted!

So there is a new midline!

Tags

CCSS.HSF-IF.C.7E

The accompanying graph shows a trigonometric function. State an equation of this function. $y=A\cos x\ or\ y=A\sin x$  

Answer explanation

This is a cos because is starts below the x-axis (midline). 

Since it starts on the minimum value, there is a negative coefficient. 

Tags

CCSS.HSF-IF.C.7E

Write an equation for the graph of the trigonometric function.

Answer explanation

This is a sin curve because it starts at the midline.

It has an amplitude of three because the maximum is 3 above the midline.

Since the function moves towards the minimum first, there is a negative coefficient.

Tags

CCSS.HSF-IF.C.7E

How do you feel about graphs of trig functions?

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Tags

CCSS.HSF-IF.C.7E