Question 1 of 5: Find the period, phase shift, and vertical shift.
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 5: Find the period, phase shift, and vertical shift.
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 5: Find the transformation.
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 5: Find the transformation.
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 5: Find the transformation.
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