WorksheetsGraphing Trig Functions Practice
Total questions: 25
Worksheet time: 35mins
Which is an equation of the cosine function with an amplitude of 2, period of π, phase shift of π/2?
y= -2cos(x/2 - π/4)
y= 2cos (x/2 + π)
y= 2cos (2x - π)
y= -2cos(2x - π/2)
What is the phase shift for y = 4cos(1/2x + π) - 2?
left π/2
right π/2
right 2π
left 2π
The __________ measure the distance from the midline to the max or min of the function.
Amplitude
Phase Shift
Vertical Translation
Horizantal Translation
If no dilations exist, what is the normal period of a sine or cosine function?
1/2π
2π
π
π/2
R: [-1, 1]
R: [-π, π]
R: [-1, 1]
R: [-∞, ∞]
What does cos(0)= ?
1
0
-1
Undefined
What does sin(π) = ?
1
0
-1
Undefined
What does tan(0) = ?
1
0
-1
Undefined
What is another name for a phase shift?
Horizontal Dilation
Horizontal Shift/Translation
Vertical Dilation
Vertical Shift/Translation
y=-2sin(x-π)
What is an equation of the graph shown?
y = cos(1/2 x)
y = cos(2x)
y = sin (1/2 x)
y = sin(2x)
What is an asymptote?
the point where the function crosses the x-axis
the highest point on the function
a value which the function approaches, but never touches
a horizontal line that intersects the function
Which function matches the graph?
f(x) = tan x
f(x) = tan 2x
f(x) = tan(x/2)
f(x) = tan 4x
What is the value of d if the function above is in the form f(x) = a tan + d
-2
-1
0
1
2
What is the period of the function?
π/2
π
2π
4π
What is the value of a if the function above is f(x) = a tan x
1/2
1
2
4
