Transformations of Sine & Cosine

What is the amplitude?
 $y\ =\ 3\sin\left[7\left(x\ +\ 6\right)\right]\ -\ 2$ 

• 7

• -2

• 3

• 6

Tags

CCSS.HSF-IF.C.7E

Which value represents a horizontal shift (left and right) in the following function y=Asin[B(x-C)]+D?

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7E

What does a negative A value cause?

y=Asin[B(x-C)]+D?

• A negative amplitude

• A reflection across the Y axis

• No effect

• A reflection across X axis

Tags

CCSS.HSF-IF.C.7E

What is the period of the function?
 $y\ =\ 5\cos\left(\frac{1}{5}x\right)$  

• 10π

•  $\frac{2\pi}{5}$  
  

•  $\frac{1}{5}$  

• 10

Tags

CCSS.HSF.TF.A.4

Describe the transformation:
 $f\left(x\right)\ =\ \cos\left(x\ -\ \frac{\pi}{4}\right)$  

• Up  $\frac{\pi}{4}$  

• Down $\frac{\pi}{4}$ 

• Left  $\frac{\pi}{4}$  

• Right  $\frac{\pi}{4}$  

Tags

CCSS.HSF-IF.C.7E

Which function represents the graph?

• $f\left(x\right)\ =\ 3\sin x$

• $f\left(x\right)\ =\ 3\cos x$

• $f\left(x\right)\ =\ \sin\left(\frac{1}{3}x\right)$

• $f\left(x\right)\ =\ \sin\left(3x\right)$

Tags

CCSS.HSF-IF.C.7E

At what point does the graph of y = sinx begin?

• (0,0)

• (0,1)

• (0,-1)

• (1, 0)

Tags

CCSS.HSF-IF.C.7E

At what point does the graph of y = cosx begin?

• (0,0)

• (0,1)

• (0, -1)

• (1, 0)

Tags

CCSS.HSF-IF.C.7E

What is the period of either graph? 
y = sinx   &  y = cosx

•  $\pi$  

•  $2\pi$  
  

•  $\frac{\pi}{2}$  
  

•  $\frac{\pi}{4}$  
  

Tags

CCSS.HSF-IF.C.7E

The period of a sine or cosine graph can be found by ....

• It's always 2π

• $\frac{2\pi}{b}$

• $b\ \times\ 2\pi$
  

• $\frac{b}{2\pi}$
  

Tags

CCSS.HSF-IF.C.7E