Illustrative Math - Algebra 2 - Unit 6 -Lesson 17

Here is the graph of a trigonometric function. Which equation has this graph? Select all that apply.

• y=\frac{3}{2}cos(2\pi x-\frac{pi}{2})
• y=-\frac{3}{2}sin(2\pi x)
• y=\frac{3}{2}cos(2\pi x)
• y=\frac{3}{2}cos(2\pi x+\frac{pi}{2})
• y=\frac{3}{2}sin(2\pi x+\pi)

Tags

F.IF.7.e

F.BF.3

Here is the graph of a trigonometric function. Which equation has this graph?

• y=cos(x)+1
• y=\frac{1}{2}cos(x)+1
• y=\frac{1}{2}cos(\pi *x)+1
• y=\frac{1}{2}cos(2\pi *x)+1

Tags

F.IF.7.e

F.BF.3

The function f is given by f(x)=4+2sin(\pi x). The graph of g is the graph of f translated left by \frac{\pi}{2} and translated vertically by -1. Which expression defines g?

• 5+2sin(\pi x+\frac{\pi}{2})
• 3+2sin(\pi (x-\frac{\pi}{2}))
• 3+2sin(\pi (x+\frac{\pi}{2}))
• 5+2sin(\pi x-\frac{\pi}{2})

Tags

F.IF.7.e

F.BF.3

Here are graphs of trigonometric functions f and g. What transformations can be applied to the graph of f to get the graph of g? Make sure to list them in the order they are applied.

Tags

F.IF.7.e

F.BF.3

The function f is given by f(0)=6+5cos(0+\frac{pi}{2}). Which of the following are true of f? Select all that apply.

• The amplitude of f is 6.
• The function f takes its maximum value when x=0.
• The midline of f is 6.
• The graph of f is the same as the graph of g(O)=6+5cos(O) translated to the right by \frac{\pi}{2}.
• The graph of f is the same as the graph of g(O)=6+5cos(O) translated to the left by \frac{\pi}{2}.

Tags

F.IF.7.e

F.BF.3