Question 1 of 5: Find the period, amplitude, and shifts.
A
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{2π}{5}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{3π}{20}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}4$$
B
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{2π}{3}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{5π}{12}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}4$$
C
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{2π}{5}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\frac{3π}{20}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}4$$
D
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{2π}{5}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\frac{π}{4}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}4$$
E
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{4π}{3}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{5π}{24}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}5$$
Question 2 of 5: Find the period, amplitude, and shifts.
A
$$\text{Amplitude:}\hspace{.1em}6$$ $$\text{Period:}\hspace{.1em}\frac{π}{4}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\frac{π}{18}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}4$$
B
$$\text{Amplitude:}\hspace{.1em}6$$ $$\text{Period:}\hspace{.1em}π$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{7π}{8}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}2$$
C
$$\text{Amplitude:}\hspace{.1em}6$$ $$\text{Period:}\hspace{.1em}\frac{π}{3}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{5π}{24}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}4$$
D
$$\text{Amplitude:}\hspace{.1em}6$$ $$\text{Period:}\hspace{.1em}\frac{π}{4}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{π}{24}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}4$$
E
$$\text{Amplitude:}\hspace{.1em}6$$ $$\text{Period:}\hspace{.1em}\frac{π}{4}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\frac{π}{24}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}4$$
Question 3 of 5: Find the period, amplitude, and shifts.
A
$$\text{Amplitude:}\hspace{.1em}\frac{1}{2}$$ $$\text{Period:}\hspace{.1em}\frac{14π}{3}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\frac{35π}{3}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}3$$
B
$$\text{Amplitude:}\hspace{.1em}\frac{1}{2}$$ $$\text{Period:}\hspace{.1em}14π$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\frac{7π}{2}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}3$$
C
$$\text{Amplitude:}\hspace{.1em}\frac{1}{2}$$ $$\text{Period:}\hspace{.1em}14π$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{35π}{3}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}3$$
D
$$\text{Amplitude:}\hspace{.1em}\frac{1}{2}$$ $$\text{Period:}\hspace{.1em}\frac{7π}{4}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\frac{π}{24}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}3$$
E
$$\text{Amplitude:}\hspace{.1em}\frac{1}{2}$$ $$\text{Period:}\hspace{.1em}\frac{9π}{4}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{7π}{2}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}3$$
Question 4 of 5: Find the period, amplitude, and shifts.
A
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{2π}{5}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{π}{4}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}4$$
B
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{2π}{7}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{2π}{21}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}4$$
C
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{2π}{7}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Left}\frac{2π}{21}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}4$$
D
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{2π}{7}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{2π}{9}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Down}\hspace{.1em}4$$
E
$$\text{Amplitude:}\hspace{.1em}3$$ $$\text{Period:}\hspace{.1em}\frac{4π}{21}$$ $$\text{Phase Shift:}\hspace{.1em}\text{Right}\frac{8π}{13}$$ $$\text{Vertical Shift:}\hspace{.1em}\text{Up}\hspace{.1em}4$$
Question 5 of 5: Find the transformation.
A
Starting with our basic sine graph, vertically shrink by a factor of 1/3, horizontally shrink by a factor of 1/3, shift left $π$/12, and shift up 2
B
Starting with our basic sine graph, vertically stretch by a factor of 4, horizontally shrink by a factor of 1/7, shift left $π$/28, and shift up 5
C
Starting with our basic sine graph, vertically stretch by a factor of 4, horizontally shrink by a factor of 1/7, shift right $π$/28, and shift up 5
D
Starting with our basic sine graph, vertically stretch by a factor of 7, horizontally shrink by a factor of 1/4, shift right $π$/16, and shift up 5
E
Starting with our basic sine graph, vertically shrink by a factor of 1/7, horizontally shrink by a factor of 1/4, shift left $π$/28, and shift up 5