negative sign. 4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 2. by=sin 2x cy=sin 3x d y=0.5 sinx a y=sinx The period of a trigonometric function is the length of one full cycle along the

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
icon
Related questions
Question
Solve 4 and 5 all parts
0 46 | |-91%
×
10:22
1 Use technology to help you sketch the graph of each function for
0≤x≤ 2.
a y sinx by=2 sinx cy=3 sinx
d Find the amplitude of each graph.
e
How could you have found the amplitude by looking at the equation?
f Could the amplitude be negative?
2 Sketch the graph of each function for 0≤x≤ 27.
a y=-sinx b y=-2 sinx c y=-3 sinx
d Explain to a partner what you notice and explain the effect of the
negative sign.
3 Sketch the graph of each function for-2л≤x≤ 2.
a y sin (-x) by=2 sin (-x) c y=3 sin (-x)
d
Explain to a partner what you notice and explain the effect of the
negative sign.
4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 27.
a y sin x
by=sin 2x
cy=sin 3x d y=0.5 sinx
The period of a trigonometric function is the length of one full cycle along the
x-axis, ie the angle measure after which the graph begins to repeat.
5 Explain to a partner what you notice.
6
Write an explanation of how the value of b in y=sin bx transforms the
graph of y=sin x
7
Factual What do the parameters represent in f(x) = a sin bx?
8 Conceptual How does changing the parameters affect the graphs of
trigonometric functions?
9
Conceptual How can you transform trigonometric graphs?
For the curves y=a sin bx and y= a cos bx:
lal is the amplitude, and the period is
y=-sin x or y=-cosx is a reflection in the x-axis.
y=sin(-x) or y= cos(-x) is a reflection in the y-axis.
Transcribed Image Text:0 46 | |-91% × 10:22 1 Use technology to help you sketch the graph of each function for 0≤x≤ 2. a y sinx by=2 sinx cy=3 sinx d Find the amplitude of each graph. e How could you have found the amplitude by looking at the equation? f Could the amplitude be negative? 2 Sketch the graph of each function for 0≤x≤ 27. a y=-sinx b y=-2 sinx c y=-3 sinx d Explain to a partner what you notice and explain the effect of the negative sign. 3 Sketch the graph of each function for-2л≤x≤ 2. a y sin (-x) by=2 sin (-x) c y=3 sin (-x) d Explain to a partner what you notice and explain the effect of the negative sign. 4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 27. a y sin x by=sin 2x cy=sin 3x d y=0.5 sinx The period of a trigonometric function is the length of one full cycle along the x-axis, ie the angle measure after which the graph begins to repeat. 5 Explain to a partner what you notice. 6 Write an explanation of how the value of b in y=sin bx transforms the graph of y=sin x 7 Factual What do the parameters represent in f(x) = a sin bx? 8 Conceptual How does changing the parameters affect the graphs of trigonometric functions? 9 Conceptual How can you transform trigonometric graphs? For the curves y=a sin bx and y= a cos bx: lal is the amplitude, and the period is y=-sin x or y=-cosx is a reflection in the x-axis. y=sin(-x) or y= cos(-x) is a reflection in the y-axis.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax