Question 1

Find the equations for the asymptotes of the hyperbola $x ^ { 2 } - y ^ { 2 } - 4 x + 14 y + 30 = 0$ .

Accepted Answer

The answer of Find the equations for the asymptotes of...

Question 2

Graph the parabola. $y = - ( x - 2 ) ^ { 2 } + 7$

Accepted Answer

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

Question 3

For the equation $y = a x ^ { 2 }$ the parabola is narrower than the basic parabola if $| a | < 1$ .

Accepted Answer

A) True 
 B)False

Question 4

Graph the parabola. $y = x ^ { 2 } + 7$

Accepted Answer

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

Question 5

Graph the equation. y = x + 4

Accepted Answer

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

Question 6

Find the x intercepts of $y = x ^ { 2 } + 8 x - 3$ . Separate answers with a comma.

Accepted Answer

A)  $- 4 + \sqrt { 19 }$ , $\sqrt { 19 } + 4$ 
B)  $4 - \sqrt { 19 }$ , $\sqrt { 19 } - 4$ 
C)  no x intercepts 
D)  $- 4 - \sqrt { 19 }$ , $\sqrt { 19 } - 4$ 
A)  $- 4 + \sqrt { 19 }$ , $\sqrt { 19 } + 4$ 
B)  $4 - \sqrt { 19 }$ , $\sqrt { 19 } - 4$ 
C)  no x intercepts 
D)  $- 4 - \sqrt { 19 }$ , $\sqrt { 19 } - 4$

Question 7

Graph the equation. y = $-$ x 3 $-$ 3

Accepted Answer

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

Question 8

Graph the circle. $x ^ { 2 } + y ^ { 2 } = 25$

Accepted Answer

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

Question 9

Identify the graph of the parabola. y = x 2 $-$ 8 x + 21

Accepted Answer

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

Question 10

Find the slope of the line determined by the points (3, 2) and (6, -1).

Accepted Answer

The answer of Find the slope of the line determined...

Question 11

Find the slope of the line determined by the points (5, 3) and (8, 18).

Accepted Answer

The answer of Find the slope of the line determined...

Question 12

Graph the circle. $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$

Accepted Answer

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

Question 13

Identify the graph of the ellipse. 64 x 2 $-$ 256 x + y 2 + 16 y + 304 = 0

Accepted Answer

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

Question 14

Graph the equation 3 x 2 $-$ 6 y 2 = 0.

Accepted Answer

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

Question 15

The graphs of equations of the form xy = k , where k is a nonzero constant, are also hyperbolas, sometimes referred to as rectangular hyperbolas. Graph the hyperbola xy = 1.

Accepted Answer

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

Question 16

Find the x intercepts of $y = x ^ { 2 } + 5 x + 2$ . Separate answers with a comma or state none .

Accepted Answer

The answer of Find the x intercepts of \(y =...

Question 17

Graph the hyperbola y 2 $-$ 16 x 2 = 9.

Accepted Answer

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

Question 18

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement.
-$r = \sqrt { 19 }$

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } = 3$ 
B)  $x ^ { 2 } + y ^ { 2 } + 14 x + 6 y + 39 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 12 x + 20 y + 101 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 24 x - 32 y = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } = 3$ 
B)  $x ^ { 2 } + y ^ { 2 } + 14 x + 6 y + 39 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 12 x + 20 y + 101 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 24 x - 32 y = 0$

Question 19

The graphs of equations of the form xy = k , where k is a nonzero constant, are also hyperbolas, sometimes referred to as rectangular hyperbolas. Graph the hyperbola xy = 15.

Accepted Answer

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

Question 20

Graph the equation. 3 x $-$ y = 2

Accepted Answer

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

Find the equations for the asymptotes of the hyperbola $x ^ { 2 } - y ^ { 2 } - 4 x + 14 y + 30 = 0$ .

Graph the parabola. $y = - ( x - 2 ) ^ { 2 } + 7$

For the equation $y = a x ^ { 2 }$ the parabola is narrower than the basic parabola if $| a | < 1$ .

Graph the parabola. $y = x ^ { 2 } + 7$

Graph the equation. y = x + 4

Find the x intercepts of $y = x ^ { 2 } + 8 x - 3$ . Separate answers with a comma.

Graph the equation. y = $-$ x 3 $-$ 3

Graph the circle. $x ^ { 2 } + y ^ { 2 } = 25$

Identify the graph of the parabola. y = x 2 $-$ 8 x + 21

Find the slope of the line determined by the points (3, 2) and (6, -1).

Find the slope of the line determined by the points (5, 3) and (8, 18).

Graph the circle. $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$

Identify the graph of the ellipse. 64 x 2 $-$ 256 x + y 2 + 16 y + 304 = 0

Graph the equation 3 x 2 $-$ 6 y 2 = 0.

The graphs of equations of the form xy = k , where k is a nonzero constant, are also hyperbolas, sometimes referred to as rectangular hyperbolas. Graph the hyperbola xy = 1.

Find the x intercepts of $y = x ^ { 2 } + 5 x + 2$ . Separate answers with a comma or state none .

Graph the hyperbola y 2 $-$ 16 x 2 = 9.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - $r = \sqrt { 19 }$

The graphs of equations of the form xy = k , where k is a nonzero constant, are also hyperbolas, sometimes referred to as rectangular hyperbolas. Graph the hyperbola xy = 15.

Graph the equation. 3 x $-$ y = 2

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

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Exam 12: Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Find the equations for the asymptotes of the hyperbola x2−y2−4x+14y+30=0x ^ { 2 } - y ^ { 2 } - 4 x + 14 y + 30 = 0x2−y2−4x+14y+30=0 .

Graph the parabola. y=−(x−2)2+7y = - ( x - 2 ) ^ { 2 } + 7y=−(x−2)2+7

For the equation y=ax2y = a x ^ { 2 }y=ax2 the parabola is narrower than the basic parabola if ∣a∣<1| a | < 1∣a∣<1 .

Graph the parabola. y=x2+7y = x ^ { 2 } + 7y=x2+7

Graph the equation. y = x + 4

Find the x intercepts of y=x2+8x−3y = x ^ { 2 } + 8 x - 3y=x2+8x−3 . Separate answers with a comma.

Graph the equation. y = −-− x 3 −-− 3

Graph the circle. x2+y2=25x ^ { 2 } + y ^ { 2 } = 25x2+y2=25

Identify the graph of the parabola. y = x 2 −-− 8 x + 21

Find the slope of the line determined by the points (3, 2) and (6, -1).

Find the slope of the line determined by the points (5, 3) and (8, 18).

Graph the circle. (x−3)2+(y−1)2=9( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9(x−3)2+(y−1)2=9

Identify the graph of the ellipse. 64 x 2 −-− 256 x + y 2 + 16 y + 304 = 0

Graph the equation 3 x 2 −-− 6 y 2 = 0.

The graphs of equations of the form xy = k , where k is a nonzero constant, are also hyperbolas, sometimes referred to as rectangular hyperbolas. Graph the hyperbola xy = 1.

Find the x intercepts of y=x2+5x+2y = x ^ { 2 } + 5 x + 2y=x2+5x+2 . Separate answers with a comma or state none .

Graph the hyperbola y 2 −-− 16 x 2 = 9.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - r=19r = \sqrt { 19 }r=19​

The graphs of equations of the form xy = k , where k is a nonzero constant, are also hyperbolas, sometimes referred to as rectangular hyperbolas. Graph the hyperbola xy = 15.

Graph the equation. 3 x −-− y = 2

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Find the equations for the asymptotes of the hyperbola $x ^ { 2 } - y ^ { 2 } - 4 x + 14 y + 30 = 0$ .

Graph the parabola. $y = - ( x - 2 ) ^ { 2 } + 7$

For the equation $y = a x ^ { 2 }$ the parabola is narrower than the basic parabola if $| a | < 1$ .

Graph the parabola. $y = x ^ { 2 } + 7$

Find the x intercepts of $y = x ^ { 2 } + 8 x - 3$ . Separate answers with a comma.

Graph the equation. y = $-$ x 3 $-$ 3

Graph the circle. $x ^ { 2 } + y ^ { 2 } = 25$

Identify the graph of the parabola. y = x 2 $-$ 8 x + 21

Graph the circle. $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$

Identify the graph of the ellipse. 64 x 2 $-$ 256 x + y 2 + 16 y + 304 = 0

Graph the equation 3 x 2 $-$ 6 y 2 = 0.

Find the x intercepts of $y = x ^ { 2 } + 5 x + 2$ . Separate answers with a comma or state none .

Graph the hyperbola y 2 $-$ 16 x 2 = 9.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - $r = \sqrt { 19 }$

Graph the equation. 3 x $-$ y = 2