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 11

Describe the effect on the graph of y = cos(x) if the equation is changed to y = 0.5cos(x).

Describe the effect on the graph of y = sin(x) if the equation is changed to y = sin(x - π/4).

Describe the transformation from y = sin(x) to y = -sin(x) + 2.

If the period of y = sin(bx) is π, what is the value of b?

If y = -2cos(2x), what is the amplitude and period?

If y = 2cos(x) + 1, what is the maximum value of the function?

If y = 2sin(3x), what is the amplitude and period?

If y = 3sin(x) - 4, what is the minimum value of the function?

If y = sin(2x), what is the period of the function?

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

If y = sin(x) is shifted down by 3 units, what is the new equation?

If y = sin(x) is shifted π units to the left, what is the new equation?

State the range of the function y = 4sin(x).

The function y = a sin(bx + c) + d, what does 'd' represent?

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

What is the amplitude of y = -5cos(x)?

What is the period of the function y = sin(x)?

What is the phase shift of y = sin(x + π/3)?