Graphing Sine and Cosine Functions

What is the period of a basic sine function, y = sin(x)?

• pi

• 2pi

• 0

• 1

Tags

CCSS.HSF.TF.A.4

How does the graph of y = -sin(x) differ from y = sin(x)?

• It starts at the top instead of the center.

• It has a larger amplitude.

• It has a shorter period.

• It starts by going down instead of up.

Tags

CCSS.HSF-IF.C.7E

What effect does doubling the coefficient of x in y = sin(2x) have on the graph?

• No change

• Halves the period

• Doubles the amplitude

• Doubles the period

Tags

CCSS.HSF-IF.C.7E

What does the 'B' value in the generic equation y = a sin(bx + c) + d represent?

• Amplitude

• Vertical shift

• Phase shift

• Period modification

Tags

CCSS.HSF-IF.C.7E

What is the period of the function y = sin(1/2x)?

• pi/2

• 4pi

• 2pi

• pi

Tags

CCSS.HSF.TF.A.4

What is the amplitude of the function y = 3cos(x)?

• 1

• 2

• 3

• 6

Tags

CCSS.HSF-IF.C.7E

How does a vertical shift of +2 affect the graph of y = sin(x)?

• Moves the graph up by 2 units

• Increases the period

• Decreases the amplitude

• No effect

Tags

CCSS.HSF-IF.C.7E

For the function y = 2sin(x) + 3, what is the vertical shift?

• 3 units up

• 2 units down

• 2 units up

• 3 units down

Tags

CCSS.HSF-IF.C.7E

How do you find the phase shift of the function y = sin(x - pi/2)?

• Set x - pi/2 = 0 and solve for x

• Multiply the coefficient of x by 2

• Add pi/2 to the period

• Divide the period by 2

Tags

CCSS.HSF-IF.C.7E

In the function y = -2sin(x) + 3, what does the '-2' indicate?

• A period of 2pi

• Vertical shift up by 2 units

• Phase shift to the left by 2 units

• An amplitude of 2, with a reflection over the x-axis

Tags

CCSS.HSF-IF.C.7E