Graphing Multiple Transformations of a Cos(x) Function

Consider the equation {eq}y=4\cos \left(\dfrac{1}{2}x-2\pi\right)-4 {/eq} and sketch its graph over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Sketch the graph of {eq}y=4\cos \left(3x-6 \pi\right)-6 {/eq} over the interval {eq}-\pi \leq x \leq \pi {/eq}.

Show the graph of the sinusoidal equation {eq}y=5\cos \left(\dfrac{4}{5}x-9 \pi\right)-1 {/eq} over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Illustrate the graph of {eq}y=5\cos \left(4x+\dfrac{1}{4} \pi\right)+5 {/eq} over the interval {eq}-\pi \leq x \leq \pi {/eq}.

Select the correct graph that corresponds to the equation {eq}y=5\cos \left(2x+\dfrac{7}{2} \pi\right)+7 {/eq} over the interval {eq}-\dfrac{3\pi}{2} \leq x \leq \dfrac{3\pi}{2} {/eq}.

Consider the equation {eq}y=2\cos \left(\dfrac{2}{3}x-\pi\right)-2 {/eq} and sketch its graph over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Sketch the graph of {eq}y=2\cos \left(4x-5 \pi\right)-4 {/eq} over the interval {eq}-\pi \leq x \leq \pi {/eq}.

Show the graph of the sinusoidal equation {eq}y=2\cos \left(2x-8 \pi\right)-6 {/eq} over the interval {eq}-\dfrac{3\pi}{2} \leq x \leq \dfrac{3\pi}{2} {/eq}.

Illustrate the graph of {eq}y=\dfrac{1}{2}\cos \left(\dfrac{2}{3}x+3\pi\right)+2 {/eq} over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Select the correct graph that corresponds to the equation {eq}y=3\cos \left(4x+7 \pi\right)+5 {/eq} over the interval {eq}-\pi \leq x \leq \pi {/eq}.

Which graph represents the equation {eq}y=5\cos \left(2x-\dfrac{1}{4} \pi\right)-7 {/eq} over the interval {eq}-\dfrac{3\pi}{2} \leq x \leq \dfrac{3\pi}{2} {/eq}?

Graph the equation {eq}y=5\cos \left(\dfrac{2}{3}x-\dfrac{7}{2} \pi\right)-1 {/eq} over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Consider the equation {eq}y=3\cos \left(4x+\dfrac{1}{2} \pi\right)+5 {/eq} and sketch its graph over the interval {eq}-\pi \leq x \leq \pi {/eq}.

Sketch the graph of {eq}y=3\cos \left(2x+\dfrac{5}{2} \pi\right)+7 {/eq} over the interval {eq}-\dfrac{3\pi}{2} \leq x \leq \dfrac{3\pi}{2} {/eq}.

Show the graph of the sinusoidal equation {eq}y=4\cos \left(\dfrac{2}{3}x+\dfrac{11}{2} \pi\right)+2 {/eq} over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Illustrate the graph of {eq}y=3\cos \left(3x-\dfrac{1}{2} \pi\right)-6 {/eq} over the interval {eq}-\pi \leq x \leq \pi {/eq}.

Select the correct graph that corresponds to the equation {eq}y=3\cos \left(\dfrac{4}{5}x-\dfrac{5}{2} \pi\right)-1 {/eq} over the interval {eq}-3\pi \leq x \leq 3\pi {/eq}.

Analyze the equation {eq}y=4\cos \left(\dfrac{1}{2}x-\dfrac{11}{2} \pi\right)-4 {/eq} and sketch its graph over the interval {eq}-5\pi \leq x \leq 5\pi {/eq}.

Choose the graph that illustrates the equation {eq}y=\dfrac{1}{2}\cos \left(3x+\dfrac{3}{2} \pi\right)+2 {/eq} over the interval {eq}-\pi \leq x \leq \pi {/eq}.

Which graph represents the equation {eq}y=\dfrac{1}{2}\cos \left(\dfrac{4}{5}x+\dfrac{9}{2} \pi\right)+2 {/eq} over the interval {eq}-3\pi \leq x \leq 3\pi {/eq}?

Show the graph of the sinusoidal equation {eq}y=\dfrac{1}{2}\cos \left(\dfrac{1}{2}x-3\pi\right)-4 {/eq} over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Illustrate the graph of {eq}y=\dfrac{1}{2}\cos \left(3x-7 \pi\right)-1 {/eq} over the interval {eq}-\dfrac{3\pi}{2} \leq x \leq \dfrac{3\pi}{2} {/eq}.

Select the correct graph that corresponds to the equation {eq}y=4\cos \left(\dfrac{4}{5}x+2\pi\right)+2 {/eq} over the interval {eq}-3\pi \leq x \leq 3\pi {/eq}.

Analyze the equation {eq}y=4\cos \left(\dfrac{1}{2}x+6 \pi\right)+4 {/eq} and sketch its graph over the interval {eq}-5\pi \leq x \leq 5\pi {/eq}.

Choose the graph that illustrates the equation {eq}y=5\cos \left(3x+9 \pi\right)+3 {/eq} over the interval {eq}-\dfrac{\pi}{2} \leq x \leq \dfrac{\pi}{2} {/eq}.

Which graph represents the equation {eq}y=\dfrac{1}{2}\cos \left(\dfrac{4}{5}x-\dfrac{3}{2} \pi\right)-2 {/eq} over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}?

Graph the equation {eq}y=\dfrac{1}{2}\cos \left(\dfrac{1}{2}x-\dfrac{9}{2} \pi\right)-3 {/eq} over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Consider the equation {eq}y=2\cos \left(2x+\pi\right)+6 {/eq} and sketch its graph over the interval {eq}-\dfrac{3\pi}{2} \leq x \leq \dfrac{3\pi}{2} {/eq}.

Sketch the graph of {eq}y=2\cos \left(\dfrac{2}{3}x+5 \pi\right)+2 {/eq} over the interval {eq}-4\pi \leq x \leq 4\pi {/eq}.

Show the graph of the sinusoidal equation {eq}y=2\cos \left(4x+8 \pi\right)+4 {/eq} over the interval {eq}-\pi \leq x \leq \pi {/eq}.