Illustrative Math - Algebra 2 - Unit 6 -Lesson 17 - Formative Library | Library

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+\pi)

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

y=\frac{3}{2}cos(2\pi x)

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

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

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})

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.

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 function f  takes its maximum value when x=0.

The graph of f  is the same as the graph of g(O)=6+5cos(O) translated to the left by \frac{\pi}{2}.

The amplitude of f is 6.

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}.

F.IF.7.e

F.BF.3

This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 17. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/17/index.html ; accessed 29/July/2021.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.