AnswersAlgebra 2 MP 234 CHSRadian Measure

Graphing Tangent and Cotangent Answers

0 verified answers4 views
1
Free Preview

What function is graphed below?

Question illustration
A
y equal to cotangent (x minus StartFraction pi over 4 EndFraction)
Option A
B
y equal to tangent (x minus StartFraction pi over 4 EndFraction)
Option B
C
y equal to cotangent (x plus StartFraction pi over 4 EndFraction)
Option C
D
y equal to tangent (x plus StartFraction pi over 4 EndFraction)
Option D
2
Free Preview

What function is graphed below?

Question illustration
A
y equal to cotangent (x) minus 2
Option A
B
y equal to tangent (x) minus 2
Option B
C
y equal to cotangent (x) plus 2
Option C
D
y equal to tangent (x) plus 2
Option D
3

Which function is equivalent to ?

Question illustration
A
y equal to minus tangent (x)
Option A
B
y equal to minus tangent ( x plusStartFraction pi over2 EndFraction)
Option B
C
y equal to tangent (x)
Option C
D
y equal to tangent ( x plusStartFraction pi over2 EndFraction)
Option D
4

The graph of the function was horizontally stretched so that its period became . Which is the equation of the transformed function?

Question illustration
A
y equal to tangent (StartFraction x over 10 EndFraction)
Option A
B
y equal to tangent (StartFraction x over 5 EndFraction)
Option B
C
y equal to tangent (5x)
Option C
D
y equal to tangent (10x)
Option D
5

Which is an asymptote of the graph of the function ?

Question illustration
A
x equal to minus StartFraction 4pi over 3 EndFraction
Option A
B
x equal to minus StartFraction 2 pi over 3 EndFraction
Option B
C
x equal to StartFraction 3 pi over 4 EndFraction
Option C
D
x equal to StartFraction 3pi over 2 EndFraction
Option D
6

Suppose the graph of the parent function is vertically compressed to produce the graph of the function , but there are no reflections. Which describes the value of a?

Question illustration
A
a is less than minus 1
Option A
B
a is greater than minus 1 but less than 0
Option B
C
a is greater than 0 but less than 1
Option C
D
a is greater than 1
Option D
7

What transformations were applied to the graph of the parent function to produce the function graphed below?

Question illustration
A
a horizontal compression to produce a period of and a horizontal translation of units to the left
Option A
B
a horizontal compression to produce a period of and a horizontal translation of units to the right
Option B
C
a horizontal stretch to produce a period of and a horizontal translation of units to the left
Option C
D
a horizontal stretch to produce a period of and a horizontal translation of units to the right
Option D
8

Chris wanted to transform the graph of the parent function by horizontally compressing it so that it has a period of units, horizontally translating it units to the right, and vertically translating it 1 unit up. To do so, he graphed the function , as shown. What did he do wrong?

Question illustration
A
He graphed the function incorrectly because he didn’t translate the graph of the parent function 1 unit up.
Option A
B
He graphed the function incorrectly because the period of the transformed function is not units.
Option B
C
He graphed the function correctly, but it was not the right function to graph. He should have graphed .
Option C
D
He graphed the function correctly, but it was not the right function to graph. He should have graphed .
Option D
9

What is the period of the function ?

Question illustration
A
3 units
B
4 units
C
6 units
D
8 units
10

Where does the graph of the function have asymptotes?

Question illustration
A
at the values of x where
Option A
B
at the values of x where
Option B
C
at the values of x where is undefined
Option C
D
at the values of x where is undefined
Option D

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Radian Measure

Quiz
10 verified answers

Radian Measure

Quiz
7 verified answers

Radian Measure

Graphing Tangent and Cotangent Answers — Algebra…