Question 1

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 9x2 = -49y2 + 441

Accepted Answer

A)  Circle 
B)  Ellipse 
C)  Hyperbola 
D)  None of these 
A)  Circle 
B)  Ellipse 
C)  Hyperbola 
D)  None of these

Question 2

Use the following to answer questions :
x = yS1U1P12S1S1P0 - 2y - 3
-Find the x- and y-intercepts, if they exist.

Accepted Answer

x-intercept: (-5, 0)

Question 3

Use the following to answer questions :
y = 2xS1U1P12S1S1P0 - x - 3
-Find the vertex.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Identify the equation as that of an ellipse or a circle. 5(x - 5)2 + 5(y + 7)2 = 80.

Accepted Answer

A)  ellipse 
B)  circle 
A)  ellipse 
B)  circle

Question 5

Use the following to answer questions :
y = xS1U1P12S1S1P0 - 4x + 3
-Find the x- and y-intercepts (if they exist).

Accepted Answer

x-intercepts: (-2, 0

Question 6

Use the following to answer questions :
The curve defined by the following parametric equations is from the cycloid family.
x = 6 cos t + 3 cos(2t)
y = 6 sin t - 3 sin(2t)
hypocycloid (3-cusp)
-Use a graphing calculator or computer to draw the graph.

Accepted Answer

@#IMG-DLM& (Tickmark

Question 7

Solve using elimination.

Accepted Answer

A)  (4, 0), (5, -3), (-5, -3) 
B)  (-4, 0), (5, -3), (5, -3) 
C)  (-4, 0), (5, -3), (5, 3) 
D)  no solutions 
A)  (4, 0), (5, -3), (-5, -3) 
B)  (-4, 0), (5, -3), (5, -3) 
C)  (-4, 0), (5, -3), (5, 3) 
D)  no solutions

Question 8

Write the equation in standard form and identify the center and the values of a and b.
x2 + 9y2 = 36

Accepted Answer

Question 9

Use the following to answer questions :
x =   y = tS1U1P12S1S1P0
-Graph the curve defined by the parametric equations using the interval t $\in$ [-3.5, 3.5].

Accepted Answer

A) 
 
(Gridlines are spaced one unit apart.) 
B) 
 
(Gridlines are spaced one unit apart.) 
C) 
 
(Gridlines are spaced one unit apart.) 
D) 
 
(Gridlines are spaced one unit apart.) 
A) 
 
(Gridlines are spaced one unit apart.) 
B) 
 
(Gridlines are spaced one unit apart.) 
C) 
 
(Gridlines are spaced one unit apart.) 
D) 
 
(Gridlines are spaced one unit apart.)

Question 10

Use the following to answer questions :
In its elliptical orbit around the sun, Mercury has an aphelion of 44 million miles, and a perihelion of 29 million miles.
-Find the eccentricity of Mercury's orbit.

Accepted Answer

A)  0.1938 
B)  0.2029 
C)  0.2055 
D)  0.2110 
A)  0.1938 
B)  0.2029 
C)  0.2055 
D)  0.2110

Question 11

Solve using elimination.

Accepted Answer

(3, 4), (3

Question 12

Convert from rectangular coordinates to polar coordinates. A diagram may help.
(8, -8)

Accepted Answer

The answer of Convert from rectangular coordinates to polar coordinates....

Question 13

Line segments (   ) and (   ) have the endpoints indicated. Use the slope formula to determine if the segments are parallel, perpendicular or simply intersect. A(-1, 4) B(1, -6)
C(-5, 0) D(5, 2)

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  intersect 
A)  parallel 
B)  perpendicular 
C)  intersect

Question 14

Use the following to answer questions :
The curve defined by the following parametric equations is from the cycloid family.
x = t - 4 sin t
y = 1 - 4 cos t
prolate cycloid
-Use the graph to find the minimum and maximum y-values.

Accepted Answer

A)  minimum y-value is -3; maximum y-value is 4 
B)  minimum y-value is -3; maximum y-value is 5 
C)  minimum y-value is -4; maximum y-value is 3 
D)  minimum y-value is -4; maximum y-value is 5 
A)  minimum y-value is -3; maximum y-value is 4 
B)  minimum y-value is -3; maximum y-value is 5 
C)  minimum y-value is -4; maximum y-value is 3 
D)  minimum y-value is -4; maximum y-value is 5

Question 15

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices.
(x - 1)2 - 9(y - 2)2 = 9

Accepted Answer

Question 16

For the graph given, state the location of the vertices, the equation of the transverse axis, the location of the center, and the equation of the conjugate axis.   (Gridlines are spaced one unit apart.)

Accepted Answer

A)  vertices: (1, 2), (1, 4); transverse axis: x = 3; center (1, 3); conjugate axis: y = 1 
B)  vertices: (1, 2), (1, 4); transverse axis: y = 3; center (1, 3); conjugate axis: x = 1 
C)  vertices: (1, 2), (1, 4); transverse axis: x = 1; center (1, 3); conjugate axis: y = 3 
D)  vertices: (1, 2), (1, 4); transverse axis: y = 1; center (1, 3); conjugate axis: x = 3 
A)  vertices: (1, 2), (1, 4); transverse axis: x = 3; center (1, 3); conjugate axis: y = 1 
B)  vertices: (1, 2), (1, 4); transverse axis: y = 3; center (1, 3); conjugate axis: x = 1 
C)  vertices: (1, 2), (1, 4); transverse axis: x = 1; center (1, 3); conjugate axis: y = 3 
D)  vertices: (1, 2), (1, 4); transverse axis: y = 1; center (1, 3); conjugate axis: x = 3

Question 17

Use the following to answer questions :
x =   y = tS1U1P12S1S1P0
-Eliminate the parameter and write the corresponding rectangular form.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Use the following to answer questions :
A large circular target 6 ft in diameter is laid flat on the ground with the bulls-eye exactly 386 feet away from the archers. An archer shoots an arrow at an angle of 35° above the horizontal with an initial velocity of 115 feet per second. (Assume the arrow is shot from ground level).
-What is the distance between the arrow and the bulls-eye after the arrow hits? (Round to two decimal places.)

Accepted Answer

A)  3.84 ft 
B)  4.64 ft 
C)  5.24 ft 
D)  6.04 ft 
A)  3.84 ft 
B)  4.64 ft 
C)  5.24 ft 
D)  6.04 ft

Question 19

For the conic equation given, determine if the equation represents a parabola, ellipse, or hyperbola.

Accepted Answer

A)  Parabola 
B)  Ellipse 
C)  Hyperbola 
A)  Parabola 
B)  Ellipse 
C)  Hyperbola

Question 20

Find the vertex, focus, and directrix for the parabola given, then use this information to sketch a complete graph (illustrate these features).
y2 = -8x

Accepted Answer

vertex: (0, 0); focu

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 9x² = -49y² + 441

Use the following to answer questions : x = y² - 2y - 3 -Find the x- and y-intercepts, if they exist.

Use the following to answer questions : y = 2x² - x - 3 -Find the vertex.

Identify the equation as that of an ellipse or a circle. 5(x - 5)² + 5(y + 7)² = 80.

Use the following to answer questions : y = x² - 4x + 3 -Find the x- and y-intercepts (if they exist).

Use the following to answer questions : The curve defined by the following parametric equations is from the cycloid family. x = 6 cos t + 3 cos(2t) y = 6 sin t - 3 sin(2t) hypocycloid (3-cusp) -Use a graphing calculator or computer to draw the graph.

Solve using elimination.

Write the equation in standard form and identify the center and the values of a and b. x² + 9y² = 36

Use the following to answer questions : x = $Use the following to answer questions : x = y = t<sup>2</sup> -Graph the curve defined by the parametric equations using the interval t \in [-3.5, 3.5].$ y = t² -Graph the curve defined by the parametric equations using the interval t $\in$ [-3.5, 3.5].

Use the following to answer questions : In its elliptical orbit around the sun, Mercury has an aphelion of 44 million miles, and a perihelion of 29 million miles. -Find the eccentricity of Mercury's orbit.

Solve using elimination.

Convert from rectangular coordinates to polar coordinates. A diagram may help. (8, -8)

Line segments ( ) and ( ) have the endpoints indicated. Use the slope formula to determine if the segments are parallel, perpendicular or simply intersect. A(-1, 4) B(1, -6) C(-5, 0) D(5, 2)

Use the following to answer questions : The curve defined by the following parametric equations is from the cycloid family. x = t - 4 sin t y = 1 - 4 cos t prolate cycloid -Use the graph to find the minimum and maximum y-values.

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices. (x - 1)² - 9(y - 2)² = 9

For the graph given, state the location of the vertices, the equation of the transverse axis, the location of the center, and the equation of the conjugate axis. (Gridlines are spaced one unit apart.)

Use the following to answer questions : x = y = t² -Eliminate the parameter and write the corresponding rectangular form.

For the conic equation given, determine if the equation represents a parabola, ellipse, or hyperbola.

Find the vertex, focus, and directrix for the parabola given, then use this information to sketch a complete graph (illustrate these features). y² = -8x

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 9: Analytical Geometry

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 9x2 = -49y2 + 441

Use the following to answer questions : x = y2 - 2y - 3 -Find the x- and y-intercepts, if they exist.

Use the following to answer questions : y = 2x2 - x - 3 -Find the vertex.

Identify the equation as that of an ellipse or a circle. 5(x - 5)2 + 5(y + 7)2 = 80.

Use the following to answer questions : y = x2 - 4x + 3 -Find the x- and y-intercepts (if they exist).

Use the following to answer questions : The curve defined by the following parametric equations is from the cycloid family. x = 6 cos t + 3 cos(2t) y = 6 sin t - 3 sin(2t) hypocycloid (3-cusp) -Use a graphing calculator or computer to draw the graph.

Solve using elimination.

Write the equation in standard form and identify the center and the values of a and b. x2 + 9y2 = 36

Use the following to answer questions : x = y = t2 -Graph the curve defined by the parametric equations using the interval t ∈\in∈ [-3.5, 3.5].

Use the following to answer questions : In its elliptical orbit around the sun, Mercury has an aphelion of 44 million miles, and a perihelion of 29 million miles. -Find the eccentricity of Mercury's orbit.

Solve using elimination.

Convert from rectangular coordinates to polar coordinates. A diagram may help. (8, -8)

Line segments ( ) and ( ) have the endpoints indicated. Use the slope formula to determine if the segments are parallel, perpendicular or simply intersect. A(-1, 4) B(1, -6) C(-5, 0) D(5, 2)

Use the following to answer questions : The curve defined by the following parametric equations is from the cycloid family. x = t - 4 sin t y = 1 - 4 cos t prolate cycloid -Use the graph to find the minimum and maximum y-values.

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices. (x - 1)2 - 9(y - 2)2 = 9

For the graph given, state the location of the vertices, the equation of the transverse axis, the location of the center, and the equation of the conjugate axis. (Gridlines are spaced one unit apart.)

Use the following to answer questions : x = y = t2 -Eliminate the parameter and write the corresponding rectangular form.

For the conic equation given, determine if the equation represents a parabola, ellipse, or hyperbola.

Find the vertex, focus, and directrix for the parabola given, then use this information to sketch a complete graph (illustrate these features). y2 = -8x

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 9x² = -49y² + 441

Use the following to answer questions : x = y² - 2y - 3 -Find the x- and y-intercepts, if they exist.

Use the following to answer questions : y = 2x² - x - 3 -Find the vertex.

Identify the equation as that of an ellipse or a circle. 5(x - 5)² + 5(y + 7)² = 80.

Use the following to answer questions : y = x² - 4x + 3 -Find the x- and y-intercepts (if they exist).

Write the equation in standard form and identify the center and the values of a and b. x² + 9y² = 36

Use the following to answer questions : x = $Use the following to answer questions : x = y = t<sup>2</sup> -Graph the curve defined by the parametric equations using the interval t \in [-3.5, 3.5].$ y = t² -Graph the curve defined by the parametric equations using the interval t $\in$ [-3.5, 3.5].

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices. (x - 1)² - 9(y - 2)² = 9

Use the following to answer questions : x = y = t² -Eliminate the parameter and write the corresponding rectangular form.

Find the vertex, focus, and directrix for the parabola given, then use this information to sketch a complete graph (illustrate these features). y² = -8x