Writing Trig Equations from Graphs

Which is a correct equation for the graph shown?

• $y=\frac{1}{2}\cos\left(2x\right)-3$

• $y=\frac{1}{2}\cos\left(\frac{1}{2}x\right)-3$

• $y=\frac{1}{2}\cos\left(2x+3\right)$

• $y=\frac{1}{2}\sin\left(2x\right)-3$

Which is a correct equation for the graph shown?

• $y=-4\sin x+2$

• $y=-4\cos x+2$

• $y=-4\sin\left(x+2\right)$

• $y=4\sin\left(x\right)+2$

Which is a correct equation for the graph shown?

• $y=-2\cos\left(\frac{\pi}{2}x\right)$

• $y=2\cos\left(\frac{\pi}{2}x\right)$

• $y=-2\sin\left(2\pi x\right)$

• $y=-2\cos\left(2\pi x\right)$

Which is a correct equation for the graph shown?

• $y=3\sin\left(\pi x\right)$

• $y=\pi\sin\left(3x\right)$

• $y=\sin\left(\pi x\right)+3$

• $y=-3\cos\left(\pi x\right)$

Which is a correct equation for the graph shown?

• $y=\cos\left(\frac{1}{2}x\right)$

• $y=\sin\left(\frac{1}{2}x\right)$

• $y=\cos2x$

• $y=\frac{1}{2}\cos\left(x\right)$

Which is a correct equation for the graph shown?

• $y=2\sin x$

• $y=\sin2x$

• $y=\cos2x$

• $y=\sin\left(\frac{1}{2}x\right)$

The function f(x) = acos bx + c is plotted on the graph shown below.

What are the values of a, b, and c?

• a = 2, b = 6, c = 3

• a = 2, b = 3, c = 1

• a = 4, b = 6, c = 5

• a = 4, b = $\frac{\pi}{3}$ , c =3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

Which equation is represented by the graph shown below?

• $y=\frac{1}{2}\cos2x$

• $y=\cos x$

• $y=\frac{1}{2}\cos x$

• $y=2\cos\frac{1}{2}x$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

The periodic graph below can be represented by the trigonometric equation y = a cos bx + c where a, b, and c are real numbers.

• a = –3, b = 3, c = 1

• a = 3, b = 2, c = –1

• a = 3, b = 2, c = 1

• a = –3, b = 2, c = 1

Which equation is represented by the graph?

• $y=-2\sin\frac{1}{2}x$

• $y=-\frac{1}{2}\sin2x$

• $y=\frac{1}{2}\sin2x$

• $y=2\sin\frac{1}{2}x$