Quiz 03.08 Graphing Sinusoidal Functions

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7E

Standards-aligned

Justin Nowell

Used 41+ times

FREE Resource

21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

$2\pi$

$\pi$

$4\pi$

$2$

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the amplitude for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

$\frac{1}{2}$

$\pi$

$\frac{\pi}{2}$

$2$

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the phase shift for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

$\frac{1}{2}$

$-\frac{\pi}{2}$

$\frac{\pi}{2}$

$2$

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the vertical shift for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

$\frac{1}{2}$

$\pi$

$\frac{\pi}{2}$

$0$

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the half period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

$\frac{1}{2}$

$\pi$

$\frac{\pi}{2}$

$2$

Tags

CCSS.HSF-IF.C.7E

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the quarter-period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

$\frac{\pi}{4}$

$\pi$

$\frac{\pi}{2}$

$\frac{\pi}{8}$

Tags

CCSS.HSF-IF.C.7E

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Graph
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Tags

CCSS.HSF-IF.C.7E

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Quiz 03.08 Graphing Sinusoidal Functions

21 questions

Find the period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the amplitude for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the phase shift for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the vertical shift for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the half period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the quarter-period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Graph
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the period for
$f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1$

Find the half-period for
$f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1$

Find the quarter-period for
$f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1$

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Quiz 03.08 Graphing Sinusoidal Functions

21 questions

Find the period for f(x)=12sin⁡(2(x−π2))f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)f(x)=21​sin(2(x−2π​))

Find the amplitude for f(x)=12sin⁡(2(x−π2))f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)f(x)=21​sin(2(x−2π​))

Find the phase shift for f(x)=12sin⁡(2(x−π2))f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)f(x)=21​sin(2(x−2π​))

Find the vertical shift for f(x)=12sin⁡(2(x−π2))f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)f(x)=21​sin(2(x−2π​))

Find the half period for f(x)=12sin⁡(2(x−π2))f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)f(x)=21​sin(2(x−2π​))

Find the quarter-period for f(x)=12sin⁡(2(x−π2))f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)f(x)=21​sin(2(x−2π​))

Graph f(x)=12sin⁡(2(x−π2))f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)f(x)=21​sin(2(x−2π​))

Find the period for f(x)=2cos⁡(13(x))−1f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1f(x)=2cos(31​(x))−1

Find the half-period for f(x)=2cos⁡(13(x))−1f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1f(x)=2cos(31​(x))−1

Find the quarter-period for f(x)=2cos⁡(13(x))−1f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1f(x)=2cos(31​(x))−1

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the amplitude for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the phase shift for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the vertical shift for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the half period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the quarter-period for
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Graph
$f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$

Find the period for
$f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1$

Find the half-period for
$f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1$

Find the quarter-period for
$f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1$