Question 1

Use the following to answer questions :
x = yS1U1P12S1S1P0 - 2y - 3
-Find the vertex.

Accepted Answer

The answer of Use the following to answer questions :
x...

Question 2

Sketch the graph of the conic section using polar graph paper.

Accepted Answer

@#IMG-DLM& Graph pas

Question 3

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 the graph to approximate all x- and y-intercepts, and maximum and minimum values to one decimal place.

Accepted Answer

x-intercepts: t = 0, x = 9, y = 0 and t

Question 4

Solve using substitution. [Hint: Substitute for y2 (not x).]

Accepted Answer

(-10, 0),

Question 5

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 3cos$\theta$

Accepted Answer

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

Question 6

Use the following to answer questions :
x = -yS1U1P12S1S1P0 + 6y - 8
-State the domain and range.

Accepted Answer

A)  x $\in$ (-$\infty$, 1]; y $\in$(-$\infty$, $\infty$) 
B)  x $\in$(-$\infty$, $\infty$); y $\in$ (-$\infty$, 3] 
C)  x $\in$ [3,$\infty$); y $\in$ (-$\infty$, $\infty$) 
D)  x $\in$(-$\infty$, $\infty$); y $\in$ (-$\infty$, $\infty$) 
A)  x $\in$ (-$\infty$, 1]; y $\in$(-$\infty$, $\infty$) 
B)  x $\in$(-$\infty$, $\infty$); y $\in$ (-$\infty$, 3] 
C)  x $\in$ [3,$\infty$); y $\in$ (-$\infty$, $\infty$) 
D)  x $\in$(-$\infty$, $\infty$); y $\in$ (-$\infty$, $\infty$)

Question 7

For the graph given, state
(a) the location of the vertices
(b) the equation of the transverse axis
(c) the location of the center
(d) the equation of the conjugate axis
Assume all coordinates are lattice points.   (Gridlines are spaced one unit apart.)

Accepted Answer

(a) (-2, -2) and (0,

Question 8

Use the following to answer questions :
y = 2xS1U1P12S1S1P0 - x - 3
-Find the x- and y-intercepts (if they exist).

Accepted Answer

A)  x-intercepts:   ; y-intercept: (0, 3) 
B)  x-intercepts:   ; y-intercept: (0, -3) 
C)  x-intercepts:   ; y-intercept: (0, -3) 
D)  x-intercepts: none; y-intercept: (0, -3) 
A)  x-intercepts:   ; y-intercept: (0, 3) 
B)  x-intercepts:   ; y-intercept: (0, -3) 
C)  x-intercepts:   ; y-intercept: (0, -3) 
D)  x-intercepts: none; y-intercept: (0, -3)

Question 9

Sketch x = (y - 1)2 - 4 using symmetry and shifts of a basic function.

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

Of the following four points, three are an equal distance from the point P(3, 4) and one is not. Identify which three.
Q(6, 8) R(-1, 1) S

Accepted Answer

A)  Q, R, S 
B)  Q, R, T 
C)  Q, S, T 
D)  R, S, T 
A)  Q, R, S 
B)  Q, R, T 
C)  Q, S, T 
D)  R, S, T

Question 11

Graph the hyperbola. Label the vertices.

Accepted Answer

@#IMG-DLM& (Gridline

Question 12

Find two additional points that are the same (non-vertical, non-horizontal) distance from the point P(-5, 2) as S   .

Accepted Answer

@#IMG-DLM& and @#IMG-DLM& (Ans

Question 13

Use the following to answer questions :
y = 2xS1U1P12S1S1P0 - x - 3
-Sketch the graph using symmetry and a few additional points or completing the square and shifting a parent function.

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 14

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 maximum height of the arrow? (Round to two decimal places.)

Accepted Answer

A)  19.40 ft 
B)  23.67 ft 
C)  28.56 ft 
D)  33.68 ft 
A)  19.40 ft 
B)  23.67 ft 
C)  28.56 ft 
D)  33.68 ft

Question 15

Plot the point   .

Accepted Answer

The answer of Plot the point   . ...

Question 16

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).
-Does the arrow hit the target?

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 17

Use the following to answer questions :
yS1U1P12S1S1P0 = 36x
-Find the vertex.

Accepted Answer

A)  (0, 0) 
B)  (0, -5) 
C)  (0, -20) 
D)  (-20, 0) 
A)  (0, 0) 
B)  (0, -5) 
C)  (0, -20) 
D)  (-20, 0)

Question 18

Show the figure drawn by connecting points A(-3, 1), B(4, -5), C(5, -1), and D(-2, 5) is a parallelogram (opposite sides parallel and equal in length).

Accepted Answer

Use the distance formula to verify that

Question 19

Identify the graph of the equation using the discriminant. x2 - 2xy + y2 - 5x + 5y - 4 = 0

Accepted Answer

A)  parabola 
B)  circle or ellipse 
C)  hyperbola 
A)  parabola 
B)  circle or ellipse 
C)  hyperbola

Question 20

Solve the system of inequalities.

Accepted Answer

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

Use the following to answer questions : x = y² - 2y - 3 -Find the vertex.

Sketch the graph of the conic section using polar graph paper.

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 the graph to approximate all x- and y-intercepts, and maximum and minimum values to one decimal place.

Solve using substitution. [Hint: Substitute for y² (not x).]

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 3cos $\theta$

Use the following to answer questions : x = -y² + 6y - 8 -State the domain and range.

For the graph given, state (a) the location of the vertices (b) the equation of the transverse axis (c) the location of the center (d) the equation of the conjugate axis Assume all coordinates are lattice points. (Gridlines are spaced one unit apart.)

Use the following to answer questions : y = 2x² - x - 3 -Find the x- and y-intercepts (if they exist).

Sketch x = (y - 1)² - 4 using symmetry and shifts of a basic function.

Of the following four points, three are an equal distance from the point P(3, 4) and one is not. Identify which three. Q(6, 8) R(-1, 1) S

Graph the hyperbola. Label the vertices.

Find two additional points that are the same (non-vertical, non-horizontal) distance from the point P(-5, 2) as S .

Use the following to answer questions : y = 2x² - x - 3 -Sketch the graph using symmetry and a few additional points or completing the square and shifting a parent function.

Plot the point .

Use the following to answer questions : y² = 36x -Find the vertex.

Show the figure drawn by connecting points A(-3, 1), B(4, -5), C(5, -1), and D(-2, 5) is a parallelogram (opposite sides parallel and equal in length).

Identify the graph of the equation using the discriminant. x² - 2xy + y² - 5x + 5y - 4 = 0

Solve the system of inequalities.

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

Use the following to answer questions : x = y2 - 2y - 3 -Find the vertex.

Sketch the graph of the conic section using polar graph paper.

Solve using substitution. [Hint: Substitute for y2 (not x).]

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 3cos θ\thetaθ

Use the following to answer questions : x = -y2 + 6y - 8 -State the domain and range.

For the graph given, state (a) the location of the vertices (b) the equation of the transverse axis (c) the location of the center (d) the equation of the conjugate axis Assume all coordinates are lattice points. (Gridlines are spaced one unit apart.)

Use the following to answer questions : y = 2x2 - x - 3 -Find the x- and y-intercepts (if they exist).

Sketch x = (y - 1)2 - 4 using symmetry and shifts of a basic function.

Of the following four points, three are an equal distance from the point P(3, 4) and one is not. Identify which three. Q(6, 8) R(-1, 1) S

Graph the hyperbola. Label the vertices.

Find two additional points that are the same (non-vertical, non-horizontal) distance from the point P(-5, 2) as S .

Use the following to answer questions : y = 2x2 - x - 3 -Sketch the graph using symmetry and a few additional points or completing the square and shifting a parent function.

Plot the point .

Use the following to answer questions : y2 = 36x -Find the vertex.

Show the figure drawn by connecting points A(-3, 1), B(4, -5), C(5, -1), and D(-2, 5) is a parallelogram (opposite sides parallel and equal in length).

Identify the graph of the equation using the discriminant. x2 - 2xy + y2 - 5x + 5y - 4 = 0

Solve the system of inequalities.

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

Use the following to answer questions : x = y² - 2y - 3 -Find the vertex.

Solve using substitution. [Hint: Substitute for y² (not x).]

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 3cos $\theta$

Use the following to answer questions : x = -y² + 6y - 8 -State the domain and range.

Use the following to answer questions : y = 2x² - x - 3 -Find the x- and y-intercepts (if they exist).

Sketch x = (y - 1)² - 4 using symmetry and shifts of a basic function.

Use the following to answer questions : y = 2x² - x - 3 -Sketch the graph using symmetry and a few additional points or completing the square and shifting a parent function.

Use the following to answer questions : y² = 36x -Find the vertex.

Identify the graph of the equation using the discriminant. x² - 2xy + y² - 5x + 5y - 4 = 0