Problem library
/
Math III
/
M3-036-A11-V02
◇ Problem preview
F-TF.5
Warmup
M3-036-A11-V02
Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.
Compare sinusoidal models with parallel feature fields
Problem
Compare \(A(x)~=~\sin(2x)\) and \(B(x)~=~\sin(x)\). Use the graph to state each amplitude, period, midline, and range, then describe the horizontal compression and relative cycle counts.
Answer choices
Choose your path.
⌁ Preview only
A
A has amplitude 2, period pi, midline 0, and range [-2, 2]. B has amplitude 1, period 2pi, midline 0, and range [-1, 1]. A is vertically stretched by factor 2 but has the same cycle length as B.
B
A and B both have amplitude 1, period 2pi, midline 0, and range [-1, 1]. They have the same phase and complete the same number of cycles, so their graphs are identical.
C
A has amplitude 1, period pi, midline 0, and range [-1, 1]. B has amplitude 1, period 2pi, midline 0, and range [-1, 1]. A is horizontally compressed by factor 1/2 and completes twice as many cycles.
D
A has amplitude 1, period 2pi, midline 0, and range [-1, 1]. B has amplitude 1, period pi, midline 0, and range [-1, 1]. B is horizontally compressed by factor 1/2 and completes twice as many cycles.
The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
Four variants of this problem type
1 2 3 4
Copy link
Print
Curriculum context
Standard F-TF.5
Category Functions
Domain Trigonometric Functions
Objective Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.
Problem type Compare sinusoidal models with parallel feature fields
