What formula do we use to find k?

k = 2 π p k\ =\ \frac{2\pi}{p} k = p 2 π

k = 2 π c k\ =\ \frac{2\pi}{c} k = c 2 π

k = π p k\ =\ \frac{\pi}{p} k = p π

k = π c k\ =\ \frac{\pi}{c} k = c π

Which of the following can be used to find a?

( max ⁡ − min ⁡ ) 2 \frac{\left(\max\ -\ \min\right)}{2} 2 ( max − min )

( max ⁡ + min ⁡ ) 2 \frac{\left(\max\ +\ \min\right)}{2} 2 ( max + min )

Which of the following can be used to find c?

( max ⁡ + min ⁡ ) 2 \frac{\left(\max\ +\ \min\right)}{2} 2 ( max + min )

( max ⁡ − min ⁡ ) 2 \frac{\left(\max\ -\ \min\right)}{2} 2 ( max − min )

What is the range of y=sin(x)?

{ − 1 ≤ y ≤ 1 } \left\{-1\ \le\ y\ \le\ 1\right\} { − 1 ≤ y ≤ 1 }

{ − 1 ≤ x ≤ 1 } \left\{-1\ \le\ x\ \le\ 1\right\} { − 1 ≤ x ≤ 1 }

{ − 1 < x < 1 } \left\{-1\ <\ x\ <\ 1\right\} { − 1 < x < 1 }

{ − 1 < y < 1 } \left\{-1\ <\ y\ <\ 1\right\} { − 1 < y < 1 }

How could you transform sin(x) into cos(x)?

sin ⁡ ( x + π 2 ) = cos ⁡ ( x ) \sin\left(x\ +\ \frac{\pi}{2}\right)\ =\ \cos\left(x\right) sin ( x + 2 π ) = cos ( x )

sin ⁡ ( x + π ) = cos ⁡ ( x ) \sin\left(x\ +\ \pi\right)=\ \cos\left(x\right) sin ( x + π ) = cos ( x )

sin ⁡ ( x − π 2 ) = cos ⁡ ( x ) \sin\left(x-\frac{\pi}{2}\right)\ =\ \cos\left(x\right) sin ( x − 2 π ) = cos ( x )

sin ⁡ ( x − π ) = cos ⁡ ( x ) \sin\left(x-\pi\right)\ =\ \cos\left(x\right) sin ( x − π ) = cos ( x )

Trig Transformations

Authored by Taya Marinic

Mathematics

12th Grade

CCSS covered

Used 34+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does c do in the function f(x) = asin[k(x-b)] + c ?

Changes the amplitude

Changes the equation of the axis and vertical position of the 'waves'

Expands/compresses the function vertically

Causes a reflection

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which parameter in the function g(x) = cos [k(x-b)] + c affects the period by expanding or compressing?

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does b do in the function f(x) = sin[k(x-b)] + c?

Changes the amplitude

Expands/compresses the function vertically

Causes a reflection

Shifts the function horizontally left or right

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the function g(x) = 2cos[4(x - $\pi$ )] + 5, there is a horizontal shift to the left by $\pi$

True

False

I don't know

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the function g(x) = -3cos[1/2(x - $2\pi$ )] + 5, there is a horizontal shift to the right by $2\pi$

True

False

I don't know

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which parameter in g(x) = cos[k(x - b)] + c affects the vertical compression/expansion of the graph?

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

-3

-6

Tags

CCSS.HSF-IF.C.7E

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Trig Transformations

What does c do in the function f(x) = asin[k(x-b)] + c ?

Which parameter in the function g(x) = cos [k(x-b)] + c affects the period by expanding or compressing?

What does b do in the function f(x) = sin[k(x-b)] + c?

In the function g(x) = 2cos[4(x - $\pi$ )] + 5, there is a horizontal shift to the left by $\pi$

In the function g(x) = -3cos[1/2(x - $2\pi$ )] + 5, there is a horizontal shift to the right by $2\pi$

Which parameter in g(x) = cos[k(x - b)] + c affects the vertical compression/expansion of the graph?

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

In the graph shown, what is the equation of the axis?

In the graph shown, what is the value of 'a' or the amplitude?

In the graph shown, what is the value of k?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Trig Transformations

What does c do in the function f(x) = asin[k(x-b)] + c ?

Which parameter in the function g(x) = cos [k(x-b)] + c affects the period by expanding or compressing?

What does b do in the function f(x) = sin[k(x-b)] + c?

In the function g(x) = 2cos[4(x - π\piπ )] + 5, there is a horizontal shift to the left by π\piπ

In the function g(x) = -3cos[1/2(x - 2π2\pi2π )] + 5, there is a horizontal shift to the right by 2π2\pi2π

Which parameter in g(x) = cos[k(x - b)] + c affects the vertical compression/expansion of the graph?

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

In the graph shown, what is the equation of the axis?

In the graph shown, what is the value of 'a' or the amplitude?

In the graph shown, what is the value of k?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

In the function g(x) = 2cos[4(x - $\pi$ )] + 5, there is a horizontal shift to the left by $\pi$

In the function g(x) = -3cos[1/2(x - $2\pi$ )] + 5, there is a horizontal shift to the right by $2\pi$