check mark
check mark
check mark
check mark
check mark
Question 1 of 5Find the period, phase shift, and vertical shift.
$$f(x)=7\sec\left(x + \frac{π}{3}\right) - 3$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{Period:}\hspace{.1em}π$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\hspace{.1em}\frac{π}{3}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}3$$
B
$$\text{Period:}\hspace{.1em}2π$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\hspace{.1em}\frac{π}{8}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}3$$
C
$$\text{Period:}\hspace{.1em}\frac{π}{3}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\hspace{.1em}\frac{π}{21}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}3$$
D
$$\text{Period:}\hspace{.1em}\frac{π}{7}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\hspace{.1em}\frac{π}{21}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}3$$
E
$$\text{Period:}\hspace{.1em}2π$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\hspace{.1em}\frac{π}{3}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}3$$
Question 2 of 5Find the period, phase shift, and vertical shift.
$$f(x)=4\csc\left(3x - \frac{π}{6}\right) - 2$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{Period:}\hspace{.1em}\frac{2π}{3}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\hspace{.1em}\frac{π}{18}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}2$$
B
$$\text{Period:}\hspace{.1em}\frac{π}{2}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\hspace{.1em}\frac{π}{12}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}2$$
C
$$\text{Period:}\hspace{.1em}\frac{3π}{2}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\hspace{.1em}\frac{π}{27}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}2$$
D
$$\text{Period:}\hspace{.1em}\frac{2π}{3}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\hspace{.1em}\frac{π}{18}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}2$$
E
$$\text{Period:}\hspace{.1em}\frac{π}{4}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\hspace{.1em}\frac{π}{18}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}2$$
Question 3 of 5Find the transformation.
$$f(x)=\frac{1}{3}\csc\left(4x - \frac{2π}{3}\right)$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Starting with our basic cosecant graph, vertically shrink by a factor of 1/3, horizontally shrink by a factor of 1/4, and shift right 2$π$/3
B
Starting with our basic cosecant graph, vertically stretch by a factor of 3, horizontally shrink by a factor of 1/4, and shift right $π$/6
C
Starting with our basic cosecant graph, vertically shrink by a factor of 1/3, horizontally stretch by a factor of 4, and shift left 2$π$/3
D
Starting with our basic cosecant graph, vertically stretch by a factor of 3, horizontally stretch by a factor of 4, and shift right $π$/6
E
Starting with our basic cosecant graph, vertically shrink by a factor of 1/3, horizontally shrink by a factor of 1/4, and shift right $π$/6
Question 4 of 5Find the transformation.
$$f(x)=\frac{1}{4}\sec\left(\frac{x}{2}- \frac{π}{3}\right) - 2$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Starting with our basic secant graph, vertically shrink by a factor of 1/4, horizontally shrink by a factor of 1/2, shift right 2$π$/3, and shift down 2
B
Starting with our basic secant graph, vertically stretch by a factor of 4, horizontally stretch by a factor of 2, shift right 2$π$/3, and shift down 2
C
Starting with our basic secant graph, vertically shrink by a factor of 1/4, horizontally stretch by a factor of 2, shift right 2$π$/3, and shift down 2
D
Starting with our basic secant graph, vertically stretch by a factor of 4, horizontally stretch by a factor of 2, shift right $π$/6, and shift down 2
E
Starting with our basic secant graph, vertically shrink by a factor of 1/4, horizontally shrink by a factor of 1/2, shift left 2$π$/3, and shift down 2
Question 5 of 5Find the transformation.
$$f(x)=3\sec\left(\frac{x}{5}+ \frac{3π}{4}\right) - 4$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Starting with our basic secant graph, vertically stretch by a factor of 4, horizontally stretch by a factor of 5, shift left 15$π$/4, and shift down 3
B
Starting with our basic secant graph, vertically shrink by a factor of 1/3, horizontally shrink by a factor of 1/5, shift left 3$π$/4, and shift down 4
C
Starting with our basic secant graph, vertically stretch by a factor of 3, horizontally stretch by a factor of 5, shift right 15$π$/4, and shift down 4
D
Starting with our basic secant graph, vertically stretch by a factor of 3, horizontally stretch by a factor of 5, shift left 15$π$/4, and shift down 4
E
Starting with our basic secant graph, vertically shrink by a factor of 1/3, horizontally shrink by a factor of 1/5, shift right 3$π$/4, and shift down 4

Great Job! You Passed!

Better Luck Next Time...

Trophy
Restart Quiz ↻
Review Lesson ↻
Next Lesson »