Write the Equation of a hyperbola given the foci and vertices

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Mathematics, Performing Arts
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to plot points when working with hyperbolas?
To calculate the area of the shape
To find the slope of the line
To identify the transverse axis and equation type
To determine the color of the graph
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the transverse axis in a hyperbola?
It is used to calculate the area
It helps in identifying the vertices and foci
It determines the length of the hyperbola
It defines the color of the graph
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you find the center of a hyperbola?
By using the midpoint formula
By plotting random points
By measuring the angles
By using the distance formula
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the midpoint formula used for?
To find the slope of a line
To calculate the midpoint between two points
To determine the area of a triangle
To find the length of a segment
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the value 'a' represent in the context of hyperbolas?
The distance from the center to a vertex
The distance from the center to a co-vertex
The distance from the center to a focus
The distance from one vertex to another
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the value of 'c' determined in a hyperbola?
By measuring the distance between the vertices
By calculating the distance from the center to a focus
By finding the midpoint of the transverse axis
By using the slope of the line
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in formulating the equation of a hyperbola?
Plugging values into the hyperbola equation
Finding the slope
Plotting the graph
Calculating the area
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