Question 1

What is the equation of the hyperbola graphed below?

Accepted Answer

The answer of What is the equation of the hyperbola...

Question 2

Give the vertices of the ellipse with equation $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 1 } = 1$ .

Accepted Answer

A)  $( 4,0 )$ and $( - 4,0 )$ 
B)  $( 0,4 )$ and $( 0 , - 4 )$ 
C)  $( 1,0 )$ and $( - 1,0 )$ 
D)  $( 0,1 )$ and $( 0 , - 1 )$ 
A)  $( 4,0 )$ and $( - 4,0 )$ 
B)  $( 0,4 )$ and $( 0 , - 4 )$ 
C)  $( 1,0 )$ and $( - 1,0 )$ 
D)  $( 0,1 )$ and $( 0 , - 1 )$

Question 3

What is the equation of the hyperbola graphed below?
 $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Accepted Answer

The answer of What is the equation of the hyperbola...

Question 4

Match the graph with the correct equation:

Accepted Answer

A)  $\frac { x ^ { 2 } } { 16 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1$ 
B)  $\frac { x ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 3 } = 1$ 
C)  $\frac { x ^ { 2 } } { 4 } + \frac { ( y + 2 ) ^ { 2 } } { 3 } = 1$ 
D)  $\frac { x ^ { 2 } } { 16 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1$ 
A)  $\frac { x ^ { 2 } } { 16 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1$ 
B)  $\frac { x ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 3 } = 1$ 
C)  $\frac { x ^ { 2 } } { 4 } + \frac { ( y + 2 ) ^ { 2 } } { 3 } = 1$ 
D)  $\frac { x ^ { 2 } } { 16 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1$

Question 5

Determine the type of graph defined by $x ^ { 2 } = 100 - 25 y$ .

Accepted Answer

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

Question 6

In the graph, $F _ { 1 }$ and $F _ { 2 }$ are the __________ of the ellipse. Each one is called a(n) __________ of the ellipse.

Accepted Answer

The answer of In the graph, \(F _ { 1...

Question 7

Match the equation  with the type of conic section .
-$x = y ^ { 2 } - 3 y + 7$

Accepted Answer

A)  ellipse 
B)  circle 
C)  ellipse. 
D)  parabola 
A)  ellipse 
B)  circle 
C)  ellipse. 
D)  parabola

Question 8

The line segment joining the vertices of an ellipse is called the __________ of the ellipse.

Accepted Answer

The answer of The line segment joining the vertices of...

Question 9

The position of a sonic boom caused by the faster-than-sound aircraft is the hyperbola $y ^ { 2 } - x ^ { 2 } = 4$ in the coordinate system shown. How wide is the hyperbola 2 units from its vertex?

Accepted Answer

The answer of The position of a sonic boom caused...

Question 10

Match the equation  with the type of conic section .
-$( x - 3 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 16$

Accepted Answer

A)  ellipse 
B)  circle 
C)  ellipse. 
D)  parabola 
A)  ellipse 
B)  circle 
C)  ellipse. 
D)  parabola

Question 11

What is the equation of the ellipse?

Accepted Answer

The answer of What is the equation of the ellipse?
...

Question 12

The arch of an underpass is a part of an ellipse. Find the equation of the ellipse.

Accepted Answer

The answer of The arch of an underpass is a...

Question 13

Determine whether the equation, when graphed, will be a circle , a parabola , an ellipse , or a hyperbola . $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Accepted Answer

The answer of Determine whether the equation, when graphed, will...

Question 14

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Accepted Answer

The answer of Graph the hyperbola. \(\log _ { 4...

Question 15

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Accepted Answer

The answer of Graph the hyperbola. \(\log _ { 4...

Question 16

Match the graph with the correct equation:

Accepted Answer

A)  $\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 4 } = 1$ 
B)  $\frac { y ^ { 2 } } { 3 } - \frac { x ^ { 2 } } { 2 } = 1$ 
C)  $\frac { x ^ { 2 } } { 2 } - \frac { y ^ { 2 } } { 3 } = 1$ 
D)  $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 9 } = 1$ 
A)  $\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 4 } = 1$ 
B)  $\frac { y ^ { 2 } } { 3 } - \frac { x ^ { 2 } } { 2 } = 1$ 
C)  $\frac { x ^ { 2 } } { 2 } - \frac { y ^ { 2 } } { 3 } = 1$ 
D)  $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 9 } = 1$

Question 17

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Accepted Answer

The answer of Graph the equation. \(\log _ { 7...

Question 18

What is the equation of the ellipse?

Accepted Answer

The answer of What is the equation of the ellipse?
...

Question 19

Solve: $\left\{ \begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 36 \
x ^ { 2 } - y ^ { 2 } = 36
\end{array} \right.$

Accepted Answer

A)  $\{ ( 6,0 ) \}$ 
B)  $\{ ( 36,0 ) \}$ 
C)  $\{ ( 6,0 ) , ( - 6,0 ) \} \}$ 
D)  $\{ ( 0,6 ) , ( 0 , - 6 ) \}$ 
A)  $\{ ( 6,0 ) \}$ 
B)  $\{ ( 36,0 ) \}$ 
C)  $\{ ( 6,0 ) , ( - 6,0 ) \} \}$ 
D)  $\{ ( 0,6 ) , ( 0 , - 6 ) \}$

Question 20

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Accepted Answer

The answer of Graph the equation. \(\log _ { 7...

What is the equation of the hyperbola graphed below?

Give the vertices of the ellipse with equation $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 1 } = 1$ .

What is the equation of the hyperbola graphed below? $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Match the graph with the correct equation:

Determine the type of graph defined by $x ^ { 2 } = 100 - 25 y$ .

In the graph, $F _ { 1 }$ and $F _ { 2 }$ are the of the ellipse. Each one is called a(n) of the ellipse. $In the graph, F _ { 1 } and F _ { 2 } are the of the ellipse. Each one is called a(n) of the ellipse.$

Match the equation with the type of conic section . - $x = y ^ { 2 } - 3 y + 7$

The line segment joining the vertices of an ellipse is called the __________ of the ellipse.

Match the equation with the type of conic section . - $( x - 3 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 16$

What is the equation of the ellipse?

The arch of an underpass is a part of an ellipse. Find the equation of the ellipse.

Determine whether the equation, when graphed, will be a circle , a parabola , an ellipse , or a hyperbola . $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Match the graph with the correct equation:

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

What is the equation of the ellipse?

Solve: $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 36 \\x ^ { 2 } - y ^ { 2 } = 36\end{array} \right.$

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Miscellaneous Topics

Filters

Exam 10: Conic Sections; More Graphing

What is the equation of the hyperbola graphed below?

Give the vertices of the ellipse with equation x216+y21=1\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 1 } = 116x2​+1y2​=1 .

What is the equation of the hyperbola graphed below? log⁡44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }log4​y4x9​

Match the graph with the correct equation:

Determine the type of graph defined by x2=100−25yx ^ { 2 } = 100 - 25 yx2=100−25y .

In the graph, F1F _ { 1 }F1​ and F2F _ { 2 }F2​ are the __________ of the ellipse. Each one is called a(n) __________ of the ellipse.

Match the equation with the type of conic section . - x=y2−3y+7x = y ^ { 2 } - 3 y + 7x=y2−3y+7

The line segment joining the vertices of an ellipse is called the __________ of the ellipse.

The position of a sonic boom caused by the faster-than-sound aircraft is the hyperbola y2−x2=4y ^ { 2 } - x ^ { 2 } = 4y2−x2=4 in the coordinate system shown. How wide is the hyperbola 2 units from its vertex?

Match the equation with the type of conic section . - (x−3)2+(y+3)2=16( x - 3 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 16(x−3)2+(y+3)2=16

What is the equation of the ellipse?

The arch of an underpass is a part of an ellipse. Find the equation of the ellipse.

Determine whether the equation, when graphed, will be a circle , a parabola , an ellipse , or a hyperbola . log⁡44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }log4​y4x9​

Graph the hyperbola. log⁡44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }log4​y4x9​

Graph the hyperbola. log⁡44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }log4​y4x9​

Match the graph with the correct equation:

Graph the equation. log⁡7xy7\log _ { 7 } \frac { x y } { 7 }log7​7xy​

What is the equation of the ellipse?

Solve: {x2+y2=36x2−y2=36\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 36 \\x ^ { 2 } - y ^ { 2 } = 36\end{array} \right.{x2+y2=36x2−y2=36​

Graph the equation. log⁡7xy7\log _ { 7 } \frac { x y } { 7 }log7​7xy​

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Miscellaneous Topics

Filters

Give the vertices of the ellipse with equation $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 1 } = 1$ .

What is the equation of the hyperbola graphed below? $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Determine the type of graph defined by $x ^ { 2 } = 100 - 25 y$ .

In the graph, $F _ { 1 }$ and $F _ { 2 }$ are the of the ellipse. Each one is called a(n) of the ellipse. $In the graph, F _ { 1 } and F _ { 2 } are the of the ellipse. Each one is called a(n) of the ellipse.$

Match the equation with the type of conic section . - $x = y ^ { 2 } - 3 y + 7$

Match the equation with the type of conic section . - $( x - 3 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 16$

Determine whether the equation, when graphed, will be a circle , a parabola , an ellipse , or a hyperbola . $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Solve: $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 36 \\x ^ { 2 } - y ^ { 2 } = 36\end{array} \right.$

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$