Trig Graph Transformations

Sine or Cosine?

• y=sinx
• y=cosx

Sine or Cosine?

• y=sinx
• y=cosx

What is the range of y = sin x  ?

• {-1 < y < 1}
• {-1 ≤ y ≤ 1}
• {-1 < x < 1}
• {-1 ≤ x ≤ 1}

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Which of

y = A sin (Bx – C) + D

affects the period?

• A

• B

• C

• D

What does a negative A value in the equation y = A sin (Bx – C) + D cause?

• A negative amplitude

• A reflection across the Y axis

• No effect

• A reflection across X axis

How does B in the function

y = A sin (Bx – C) + D

affect the period?

• period = Π ÷ B

• period = B ÷ Π

• period = 2Π ÷ B

• period = B ÷ 2Π

What does C do in the function

y = A sin (Bx – C) + D?

• Changes the amplitude

• Changes the period

• Changes the vertical position of the 'waves'

• Changes the horizontal position of the 'waves'

How many "key points" should be included in every cycle/period of a sine or cosine graph?

Hint: Think about how many points you plot when graphing.

• As many as I want

• It depends on the graph

• 4

• 5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

what is the period of y= -3sinx

• π
• 2π
• 3π
• 4π

What is the amplitude of the function
f(x) = -3cos x   ?

• -3
• 3
• 6
• -6

Tags

CCSS.HSF.TF.B.5