Module 4 Quiz: Graphs of Trig Functions
Test Your Knowledge
10 questions on graphing all six trig functions.
1
Amplitude and period of y = 5 cos(πx)?
Amp = 5, Period = 2π/π = 2.
2
Phase shift of y = sin(2x − π/3)?
C/B = (π/3)/2 = π/6 right.
3
Range of y = −3 sin(x) + 5?
[2, 8].
4
Period of y = tan(4x)?
π/4.
5
Where are asymptotes of y = sec(x)?
At x = π/2 + nπ (where cos = 0).
6
y = cos x starts at what value when x = 0?
1 (its maximum).
7
What is the midline of y = 2 sin(x) + 4?
y = 4.
8
Range of y = csc(x)?
(−∞, −1] ∪ [1, ∞).
9
Period of y = cot(x/2)?
π/(1/2) = 2π.
10
Is y = −sin(x) a reflection across which axis?
Reflection across the x-axis.