Functions (trigonometric)

The __________ represents half the distance between the max and min of a sine or cosine graph.

• Period

• Frequency

• Extreme Values

• Amplitude

Tags

CCSS.HSF.TF.B.5

What is the equation of the cosine function that has an amplitude of 2, a midline of 4, and a period of 4?

• y = 2 cos 4x + 4

• y = 4 cos 2x +4

• $y=2\cos\ \frac{\pi}{2}x\ +4$

• $y\ =\ 2\ \cos\ \frac{1}{2}x\ +4$

Tags

CCSS.HSF.TF.B.5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which function represents the graph?

• f(x) = 3 sin x
• f(x) = 3 cos x
• f(x) = sin ( ⅓ x)
• f(x) = sin (3 x)

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the vertical shift?

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the midline of this graph?

• y = 0

• y = -1

• y = -2

• y = -3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

Select the change that would occur from f(x) to g(x).

f(x) = cos(x)

g(x) = cos(x/3)

• Horizontal Stretch by 3

• Horizontal Shrink by 3

• Horizontal Stretch by 1/3

• Horizontal Shrink by 1/3

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph shown?

• y = 3sin(θ + π/4) - 1

• y = 3cos(θ - π/4) -1

• y = 3sin(θ - π/4) + 1

• y = 3cos(θ + π/4) + 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

The midline is (select all that apply)

• the vertical shift of a trig function

• halfway between the max and the min

• the height of the wave above or below the midline

• the length of one cycle

Tags

CCSS.HSF.TF.B.5

Describe the horizontal shift.

• left 3π / 4

• left 4π / 3

• right 3π

• right 3π / 4

Tags

CCSS.HSF.BF.B.3