Question 1

Match the given equation with one of the graphs.
- 2x2−64y=322 x ^ { 2 } - 64 y = 322x2−64y=32

Accepted Answer

A)  
B)  
C)  
D)   E) None of the above
F) A) and B)

Question 2

Match the given equation with one of the graphs.
- 25x2+64y2=160025 x ^ { 2 } + 64 y ^ { 2 } = 160025x2+64y2=1600

Accepted Answer

A)  
B)  
C)  
D)   E) A) and B)
F) B) and C)

Question 3

Match the given equation with one of the graphs.
- y2−9x2=81y ^ { 2 } - 9 x ^ { 2 } = 81y2−9x2=81

Accepted Answer

A)  
B)  
C)  
D)   E) C) and D)
F) A) and B)

Question 4

Match the system of equations with one of the graphs.
- x2−y2=121x2+y2=36\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 121 \x ^ { 2 } + y ^ { 2 } = 36\end{array}x2−y2=121x2+y2=36​

Accepted Answer

A)  
B)  
C)  
D)   E) None of the above
F) All of the above

Question 5

Match the system of inequalities with one of the graphs.
- y≤−x2x+y≥−2\begin{array} { l } y \leq - x ^ { 2 } \x + y \geq - 2\end{array}y≤−x2x+y≥−2​

Accepted Answer

A)  
B)  
C)  
D)   E) A) and C)
F) None of the above

Question 6

Match the system of equations with one of the graphs.
- 25x2+4y2=100x+y=5\begin{array} { l } 25 x ^ { 2 } + 4 y ^ { 2 } = 100 \x + y = 5\end{array}25x2+4y2=100x+y=5​

Accepted Answer

A)  
B)  
C)  
D)   E) B) and C)
F) All of the above

Question 7

Match the given equation with one of the graphs.
- x2−y2=81x ^ { 2 } - y ^ { 2 } = 81x2−y2=81

Accepted Answer

A)  
B)  
C)  
D)   E) B) and D)
F) A) and B)

Question 8

Match the given equation with one of the graphs.
- x2=−4yx ^ { 2 } = - 4 yx2=−4y

Accepted Answer

A)  
B)  
C)  
D)   E) B) and C)
F) A) and B)

Question 9

Match the given equation with one of the graphs.
- 36x2+9y2=32436 x ^ { 2 } + 9 y ^ { 2 } = 32436x2+9y2=324

Accepted Answer

A)  
B)  
C)  
D)   E) B) and C)
F) A) and D)

Question 10

Match the system of inequalities with one of the graphs.
- x2+y2<25y≥1\begin{array} { l } x ^ { 2 } + y ^ { 2 } < 25 \y \geq 1\end{array}x2+y2<25y≥1​

Accepted Answer

A)  
B)  
C)  
D)   E) None of the above
F) All of the above

Question 11

Match the given equation with one of the graphs.
- 4x2+36y2=1444 x ^ { 2 } + 36 y ^ { 2 } = 1444x2+36y2=144

Accepted Answer

A)  
B)  
C)  
D)   E) A) and C)
F) All of the above

Question 12

Match the given equation with one of the graphs.
- (x+3) 281−(y−3) 225=1\frac { ( x + 3 )  ^ { 2 } } { 81 } - \frac { ( y - 3 )  ^ { 2 } } { 25 } = 181(x+3) 2​−25(y−3) 2​=1

Accepted Answer

A)  
B)  
C)  
D)   E) B) and C)
F) C) and D)

Question 13

Provide the proper response.
-Explain in your own words how you can tell from the equation whether the branches of a
hyperbola open up and down or left and right.

Accepted Answer

The branches open left and rig...

Question 14

Match the given equation with one of the graphs.
- x236−y24=1\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 4 } = 136x2​−4y2​=1

Accepted Answer

A)  
B)  
C)  
D)   E) All of the above
F) C) and D)

Question 15

Match the given equation with one of the graphs.
- x2+y2+4x+4y=0x ^ { 2 } + y ^ { 2 } + 4 x + 4 y = 0x2+y2+4x+4y=0

Accepted Answer

A)  
B)  
C)  
D)   E) A) and B)
F) All of the above

Question 16

Match the given equation with one of the graphs.
- x2+y2=16x ^ { 2 } + y ^ { 2 } = 16x2+y2=16

Accepted Answer

A)  
B)  
C)  
D)   E) All of the above
F) A) and B)

Question 17

Match the given equation with one of the graphs.
- (x+5) 2=4(y−5) ( x + 5 )  ^ { 2 } = 4 ( y - 5 ) (x+5) 2=4(y−5)

Accepted Answer

A)  
B)  
C)  
D)   E) A) and C)
F) A) and B)

Question 18

Match the given equation with one of the graphs.
- x2+y2+8x+8y=−28x ^ { 2 } + y ^ { 2 } + 8 x + 8 y = - 28x2+y2+8x+8y=−28

Accepted Answer

A)  
B)  
C)  
D)   E) A) and C)
F) B) and D)

Question 19

Match the system of equations with one of the graphs.
- x2−y2=25x−5=4y\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 25 \x - 5 = 4 y\end{array}x2−y2=25x−5=4y​

Accepted Answer

A)  
B)  
C)  
D)   E) A) and C)
F) B) and C)

Question 20

Match the given equation with one of the graphs.
- 36x2+49y2=176436 x ^ { 2 } + 49 y ^ { 2 } = 176436x2+49y2=1764

Accepted Answer

A)  
B)  
C)  
D)   E) A) and B)
F) A) and C)

Exam 7: Conic Sections

Match the given equation with one of the graphs. - (x+3) 281−(y−3) 225=1\frac { ( x + 3 ) ^ { 2 } } { 81 } - \frac { ( y - 3 ) ^ { 2 } } { 25 } = 181(x+3) 2​−25(y−3) 2​=1

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - 36x2+9y2=32436 x ^ { 2 } + 9 y ^ { 2 } = 32436x2+9y2=324

Correct AnswerverifiedShow Answer

Match the system of inequalities with one of the graphs. - y≤−x2x+y≥−2\begin{array} { l } y \leq - x ^ { 2 } \\x + y \geq - 2\end{array}y≤−x2x+y≥−2​

Correct AnswerverifiedShow Answer

Match the system of equations with one of the graphs. - x2−y2=25x−5=4y\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 25 \\x - 5 = 4 y\end{array}x2−y2=25x−5=4y​

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - x2−y2=81x ^ { 2 } - y ^ { 2 } = 81x2−y2=81

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - 4x2+36y2=1444 x ^ { 2 } + 36 y ^ { 2 } = 1444x2+36y2=144

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - 2x2−64y=322 x ^ { 2 } - 64 y = 322x2−64y=32

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - 36x2+49y2=176436 x ^ { 2 } + 49 y ^ { 2 } = 176436x2+49y2=1764

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - 25x2+64y2=160025 x ^ { 2 } + 64 y ^ { 2 } = 160025x2+64y2=1600

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - x2+y2+4x+4y=0x ^ { 2 } + y ^ { 2 } + 4 x + 4 y = 0x2+y2+4x+4y=0

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - x2+y2+8x+8y=−28x ^ { 2 } + y ^ { 2 } + 8 x + 8 y = - 28x2+y2+8x+8y=−28

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - y2−9x2=81y ^ { 2 } - 9 x ^ { 2 } = 81y2−9x2=81

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - x2=−4yx ^ { 2 } = - 4 yx2=−4y

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - x2+y2=16x ^ { 2 } + y ^ { 2 } = 16x2+y2=16

Correct AnswerverifiedShow Answer

Match the system of equations with one of the graphs. - 25x2+4y2=100x+y=5\begin{array} { l } 25 x ^ { 2 } + 4 y ^ { 2 } = 100 \\x + y = 5\end{array}25x2+4y2=100x+y=5​

Correct AnswerverifiedShow Answer

Match the system of equations with one of the graphs. - x2−y2=121x2+y2=36\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 121 \\x ^ { 2 } + y ^ { 2 } = 36\end{array}x2−y2=121x2+y2=36​

Correct AnswerverifiedShow Answer

Provide the proper response. -Explain in your own words how you can tell from the equation whether the branches of a hyperbola open up and down or left and right.

Correct AnswerverifiedThe branches open left and rig...View AnswerShow Answer

Match the given equation with one of the graphs. - (x+5) 2=4(y−5) ( x + 5 ) ^ { 2 } = 4 ( y - 5 ) (x+5) 2=4(y−5)

Correct AnswerverifiedShow Answer

Match the system of inequalities with one of the graphs. - x2+y2<25y≥1\begin{array} { l } x ^ { 2 } + y ^ { 2 } < 25 \\y \geq 1\end{array}x2+y2<25y≥1​

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - x236−y24=1\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 4 } = 136x2​−4y2​=1

Correct AnswerverifiedShow Answer

Match the given equation with one of the graphs. - $\frac { ( x + 3 ) ^ { 2 } } { 81 } - \frac { ( y - 3 ) ^ { 2 } } { 25 } = 1$

Correct Answer
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Match the given equation with one of the graphs. - $36 x ^ { 2 } + 9 y ^ { 2 } = 324$

Correct Answer
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Match the system of inequalities with one of the graphs. - $\begin{array} { l } y \leq - x ^ { 2 } \\x + y \geq - 2\end{array}$

Correct Answer
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Match the system of equations with one of the graphs. - $\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 25 \\x - 5 = 4 y\end{array}$

Correct Answer
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Match the given equation with one of the graphs. - $x ^ { 2 } - y ^ { 2 } = 81$

Correct Answer
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Match the given equation with one of the graphs. - $4 x ^ { 2 } + 36 y ^ { 2 } = 144$

Correct Answer
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Match the given equation with one of the graphs. - $2 x ^ { 2 } - 64 y = 32$

Correct Answer
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Match the given equation with one of the graphs. - $36 x ^ { 2 } + 49 y ^ { 2 } = 1764$

Correct Answer
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Match the given equation with one of the graphs. - $25 x ^ { 2 } + 64 y ^ { 2 } = 1600$

Correct Answer
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Match the given equation with one of the graphs. - $x ^ { 2 } + y ^ { 2 } + 4 x + 4 y = 0$

Correct Answer
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Match the given equation with one of the graphs. - $x ^ { 2 } + y ^ { 2 } + 8 x + 8 y = - 28$

Correct Answer
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Match the given equation with one of the graphs. - $y ^ { 2 } - 9 x ^ { 2 } = 81$

Correct Answer
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Match the given equation with one of the graphs. - $x ^ { 2 } = - 4 y$

Correct Answer
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Match the given equation with one of the graphs. - $x ^ { 2 } + y ^ { 2 } = 16$

Correct Answer
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Match the system of equations with one of the graphs. - $\begin{array} { l } 25 x ^ { 2 } + 4 y ^ { 2 } = 100 \\x + y = 5\end{array}$

Correct Answer
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Match the system of equations with one of the graphs. - $\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 121 \\x ^ { 2 } + y ^ { 2 } = 36\end{array}$

Correct Answer
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Correct Answer
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The branches open left and rig...
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Match the given equation with one of the graphs. - $( x + 5 ) ^ { 2 } = 4 ( y - 5 )$

Correct Answer
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Match the system of inequalities with one of the graphs. - $\begin{array} { l } x ^ { 2 } + y ^ { 2 } < 25 \\y \geq 1\end{array}$

Correct Answer
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Match the given equation with one of the graphs. - $\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 4 } = 1$

Correct Answer
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