trig graph review, post 1.5 or 1.6

What is the period for the function ?

$y=-5\cos\left(3x+2\pi\right)$

• None of the above

Answer explanation

Recall that $y=A\sin\left(B\left(x-C\right)\right)+D$ and $Period=\frac{2\pi}{\left|B\right|}$

Tags

Trigonometry

Transformation

Sine Graph

Period

Horizontal Dilation

What is the amplitude for the function ?

$y=-1.5\sin\left(4x-3\pi\right)$

• None of the above

Answer explanation

Recall that $y=A\sin\left(B\left(x-C\right)\right)+D$ and $Amplitude=\left|A\right|$

Tags

Trigonometry

Transformation

Sine Graph

Amplitude

Vertical Dilation

What is the phase shift for the function ?

$y=3.2\cos\left(1.5\left(x-4\pi\right)\right)$

• None of the above

Answer explanation

Recall that $y=A\cos\left(B\left(x-C\right)\right)+D$ and $C\Longrightarrow Phase\ Shift$ where $\left(x-C\right)\Longrightarrow Moves\ Right$ and $\left(x+C\right)\Longrightarrow Moves\ Left$

Tags

Trigonometry

Transformation

Cosine Graph

Phase Shift

Horizontal Translation

What is the vertical shift for the function ?

$y=3\sin\left(-5x-\pi\right)-6$

• None of the above

Answer explanation

Recall that $y=A\sin\left(B\left(x-C\right)\right)+D$ and $D\Longrightarrow Vertical\ Shift$

Tags

Trigonometry

Transformation

Sine Graph

Vertical Translation

Midline

Tags

CCSS.HSF-IF.C.7E

Tags

CCSS.HSF-IF.C.7E

What is the midline for
y=2cos(1/3x +π/6) +2

• 1/3
• -2
• +2
• 4

Tags

CCSS.HSF-IF.C.7E

Which of the following functions has a phase shift of 2π left? Mark all that apply

• y=2cos(2x+π)-1

• y=2cos(x-2π)-1

• y=2cos[2(x-2π)]-1

• y=2cos[2(x+2π)]-1

• y=2cos(x+2π)-1

Tags

CCSS.HSF-IF.C.7E

Write an equation of a sine function with a period of π and amplitude of 7.

• y=7sin2πx
• y=7sinπx
• y=2sin7x
• y=7sin2x

Tags

CCSS.HSF.TF.A.4

What is the period?

• 4π
• 2π
• π
• 8π

Tags

CCSS.HSF-IF.C.7E