Math 3 Unit 8 Lesson 5 Review

Front

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

Back

The horizontal shift is represented by the value 'b'.

Front

Describe the transformations of the function y = -4 + sin(1/2(x - 2π)).

Back

Amplitude = 1, Period = 4π, Right 2π, Down 4.

Front

What is the amplitude and period of y = 2sin(3(x + 4))?

Back

Amplitude = 2, Period = 2π/3.

Front

Write the equation for a cosine function with amplitude 3, period 2π, horizontal phase shift π right, and vertical shift up 5.

Back

y = 3cos(x - π) + 5.

Front

What is the amplitude of the function y = 2sin(x)?

Back

The amplitude is 2.

Front

What does the amplitude of a sine or cosine function represent?

Back

The amplitude represents the maximum distance from the midline of the graph to its peak.

Front

How do you determine the period of a sine or cosine function?

Back

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

Front

What is the effect of a negative sign in front of a sine or cosine function?

Back

A negative sign reflects the graph across the x-axis.

Front

What is the vertical shift in the function y = sin(x) + 3?

Back

The vertical shift is up 3.

Front

How does a horizontal shift to the right affect the function y = sin(x)?

Back

It shifts the graph to the right by the specified amount.