Math 3 Unit 8 Lesson 5

Front

What is the amplitude in the function y=asink(x-b)+c?

Back

The amplitude is represented by the value |a|.

Front

What does the value 'b' represent in the function y=asink(x-b)+c?

Back

The value 'b' represents the horizontal shift (left and right) of the graph.

Front

What does the value 'c' represent in the function y=asink(x-b)+c?

Back

The value 'c' represents the vertical shift (up or down) of the graph.

Front

What is the period of the function y=asink(x-b)+c?

Back

The period is given by the formula \( \frac{2\pi}{k} \) where k is the coefficient of x.

Front

How do you calculate the period of a sine function?

Back

The period of a sine function is calculated using the formula \( \frac{2\pi}{k} \), where k is the coefficient of x.

Front

What is the general form of a sine function?

Back

The general form of a sine function is y = a sin(k(x - b)) + c.

Front

What does the parameter 'a' affect in the sine function?

Back

The parameter 'a' affects the amplitude of the sine wave.

Front

What is the effect of changing the value of 'k' in the sine function?

Back

Changing the value of 'k' affects the period of the sine wave.

Front

If a = 3 in the function y = asink(x-b)+c, what is the amplitude?

Back

The amplitude is |3| = 3.

Front

If b = 2 in the function y = asink(x-b)+c, what is the horizontal shift?

Back

The horizontal shift is 2 units to the right.