
Given the graph and asymptotes write the equation for a hyperbola
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11th Grade - University
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Practice Problem
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in writing the equation for a hyperbola?
Identify the transverse axis as vertical or horizontal
Find the slope of the asymptotes
Determine the center of the hyperbola
Calculate the distance between the foci
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the center of a hyperbola?
By determining the distance from the center to the co-vertices
By using the slope of the asymptotes
By finding the midpoint between the vertices
By calculating the midpoint between the foci
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation for the asymptotes of a hyperbola with a vertical transverse axis?
y = k ± a/b * (x - h)
x = h ± a/b * (y - k)
y = k ± b/a * (x - h)
x = h ± b/a * (y - k)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine the value of 'b' for a hyperbola?
By measuring the distance from the center to the co-vertices
By finding the slope of the asymptotes
By calculating the midpoint between the foci
By using the distance from the center to the vertices
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final equation of the hyperbola discussed in the video?
x^2/9 - y^2/5 = 1
y^2/9 - x^2/5 = 1
y^2/5 - x^2/9 = 1
x^2/5 - y^2/9 = 1
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