Graphs of Trigonometric Functions

Math ⇒ Trigonometry

Graphs of Trigonometric Functions starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Graphs of Trigonometric Functions. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

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?

If y = sin(x) is reflected over the x-axis, what is the new equation?

State the amplitude, period, and phase shift of y = 2sin(3x - π).

The graph of y = cos(x) is shifted downward by 4 units. What is the new equation?

The graph of y = sin(x) is shifted π/2 units to the left. What is the new equation?

What is the period of y = tan(2x)?

What is the range of the function y = -2cos(x)?

Which transformation is applied to y = sin(x) to obtain y = 2sin(x) + 1?