Graphs of Trigonometric Functions
Math ⇒ Trigonometry
Graphs of Trigonometric Functions starts at 11 and continues till grade 12.
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See sample questions for grade 12
Describe the effect on the graph of y = sin(x) if the equation is changed to y = sin(x - π/4).
Describe the symmetry of the graph of y = tan(x).
Find the period of y = cos(x/2).
Find the phase shift of y = cos(2x + π).
For the function y = a sin(bx + c) + d, what is the formula for the period?
If the amplitude of a sine function is 5, what is the maximum value of the function?
If y = a sin(bx + c) + d, what does the parameter 'd' represent?
If y = sin(x) is compressed horizontally by a factor of 2, what is the new equation?
Which of the following best describes the graph of y = tan(x)?
(1) It is periodic with period π
(2) It is periodic with period 2π
(3) It is not periodic
(4) It is symmetric about the y-axis
Which of the following functions has a period of 2π?
(1) y = sin(3x)
(2) y = cos(x)
(3) y = tan(x)
(4) y = sin(x/2)
Which of the following is the correct graph for y = -sin(x)?
(1) Reflection of y = sin(x) over the y-axis
(2) Reflection of y = sin(x) over the x-axis
(3) Shift of y = sin(x) upward by 1 unit
(4) Shift of y = sin(x) to the right by π units
Which of the following is the period of the function y = sin(2x)?
(1) π
(2) 2π
(3) π/2
(4) 4π
The amplitude of the function y = 3sin(x) is _______.
The function y = cos(x) attains its maximum value at x = _______.
The function y = sin(x) has zeros at x = _______.
The midline of the function y = 3cos(x) - 2 is y = _______.
True or False: The function y = sin(x) is an odd function.
True or False: The graph of y = cos(x) is symmetric about the y-axis.
True or False: The graph of y = tan(x) has vertical asymptotes at x = nπ, where n is any integer.
True or False: The maximum value of y = -5cos(x) is 5.
