Phase shifts of trigonometric functions

Phase shifts of trigonometric functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of y = a sin(BX - C) when C is positive?

The graph shifts upwards.

The graph does not shift.

The graph shifts to the left.

The graph shifts to the right.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the coefficient B affect the graph of a trigonometric function?

It changes the amplitude.

It affects the phase shift and period.

It has no effect on the graph.

It shifts the graph vertically.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for calculating phase shift when B is not equal to 1?

C multiplied by B

C divided by B

B divided by C

C plus B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example y = 3 sin(2X - π/2), what is the correct phase shift?

π/2 to the right

π/4 to the right

π/2 to the left

π/4 to the left

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to divide C by B when calculating phase shift?

To determine the amplitude

To find the correct direction and magnitude of the shift

To calculate the period

To adjust the vertical shift