
Conic Sections Review
Presentation
•
Mathematics
•
11th Grade
•
Hard
Joseph Anderson
FREE Resource
14 Slides • 23 Questions
1
Hyperbola
By Dr KEE CH
2
1. Students will be able to differentiate the four conic sections.
2. Students will be able to conceptualize the key features of a hyperbola.
3. Students will be able to use an online graphing tool to graph a hyperbola.
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4
5
Multiple Choice
6
Multiple Choice
7
Multiple Choice
8
Multiple Choice
When the x-part is squared, the parabola opens up or down.
9
Multiple Choice
10
Multiple Choice
What are the coordinates for the focus?
11
Multiple Choice
What is the equation of the directrix?
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13
Multiple Choice
Find the graph to this equation (x+9)2+(y+4)2=48
14
Multiple Choice
Find the graph to this equation (x−3)2+y2=4
15
Multiple Choice
Find the graph to this equation (x−7)2+(y+1)2=1
16
Multiple Choice
Find the standard equation of this graph
(x−1)2+(y+4)2=4
(x+1)2+(y−4)2=16
(x−1)2+(y+4)2=16
(x+1)2+(y−4)2=4
17
Multiple Choice
Find the standard equation of this graph
(x−3)2+(y−1)2=2
(x+3)2+(y+1)2=4
(x−3)2+(y−1)2=4
(x+3)2+(y+1)2=2
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19
Multiple Choice
20
Multiple Choice
21
Multiple Choice
Find the standard equation of the given ellipse
22
Multiple Choice
Find the standard equation of the given ellipse
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Multiple Choice
Which of the following is the graph of 4(x+3)2+9(y+1)2=1
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Has two equal parts, same size and shape
Symmetrical
Approach the axes, but never touche them
No value of x when y=0, and for y when x=0 (no x-intecepts and no x-intercepts)
A line that a graph approaches but never intersect is called asymptote
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Asymptote: x=0 and y=0
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Plot the graph using Desmos / Geogebra.
What did you noticed?
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Horizontal asymptote: y=0
Vertical asymptote: x=1
y-intercept = -2
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Multiple Choice
Which type of conic is:
Circle
Ellipse
Hyperbola
Parabola
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Multiple Choice
Which of the followings is true?
y-intercept =-1
y-intercept = 1
y-intercept = -3
y-intercept =3
34
Multiple Choice
Find the equation of hyperbola.
16(x−2)2−20(y+3)2=1
16(x+3)2−20(y−2)2=1
20(x−2)2−16(y+3)2=1
16(y+3)2−20(x−2)2=1
35
Multiple Choice
What are the asymptotes of the hyperbola in the picture?
y = x and y = –x
y = 2x and y = –2x
y = 1/2x and y = –1/2x
y = 2x and y = 4x
36
Multiple Choice
What is the center of this hyperbola?
Center (−1, 4)
Center (1, 4)
Center (−1, −4)
Center (1, −4)
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Open Ended
What is your key takeaway from today's lesson?
Hyperbola
By Dr KEE CH
Show answer
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