Equations of Hyperbolas — Quiz

Question 1

Which statement about the hyperbola is true?

Revolt · Accepted Answer

The point open paren 3 comma 0 close paren is a vertex.

Question 2

What are the coordinates of a focus of the hyperbola?

Revolt · Accepted Answer

open paren 13 comma 0 close paren

Question 3

Which statement about the hyperbola is true?

Revolt · Accepted Answer

The point open paren negative 2 comma 0 close paren is a vertex.

Question 4

Which is a true statement comparing the graphs of the fraction with numerator x squared and denominator 3 squared minus the fraction with numerator y squared and denominator 4 squared is equal to 1 and the fraction with numerator y squared and denominator 3 squared minus the fraction with numerator x squared and denominator 4 squared is equal to 1 ?

Revolt · Accepted Answer

The lengths of both transverse axes are the same.

Question 5

Which graph represents the hyperbola the fraction with numerator x squared and denominator 5 squared minus the fraction with numerator y squared and denominator 4 squared is equal to 1 ?

Revolt · Accepted Answer

Image with description A four-quadrant coordinate plane. A hyperbola is shown centered at the origin. The transverse axis has endpoints at (negative 5 comma 0) and (5 comma 0). The branches of the hyperbola open left and right. A dashed box is shown around the points (negative 5 comma 0), (0 comma 4), (5 comma 0), and (0 comma negative 4).

Question 6

Which is a true statement comparing the graphs of the fraction with numerator x squared and denominator 6 squared minus the fraction with numerator y squared and denominator 8 squared is equal to 1 and the fraction with numerator x squared and denominator 8 squared minus the fraction with numerator y squared and denominator 6 squared is equal to 1 ?

Revolt · Accepted Answer

The foci of both graphs are the same points.

Question 7

Which graph represents the hyperbola the fraction with numerator y squared and denominator 6 squared minus the fraction with numerator x squared and denominator 2 squared is equal to 1 ?

Revolt · Accepted Answer

Image with description A four-quadrant coordinate plane. A hyperbola is shown centered at the origin. The transverse axis has endpoints at (0 comma negative 6) and (0 comma 6). The branches of the hyperbola open up and down. A dashed box is shown around the points (negative 2 comma 0), (0 comma 6), (2 comma 0), and (0 comma negative 6).

Question 8

The equation (y^2)/(8^2)−(x^2)/(b^2)=1 represents a hyperbola centered at the origin with a focus of open paren 0 comma negative 10 close paren What is the value of b ?

Revolt · Accepted Answer

6

Question 9

Which is a focus of the hyperbola shown?

Revolt · Accepted Answer

open paren 0 comma negative 26 close paren

Question 10

A hyperbola centered at the origin has a vertex at open paren negative 6 comma 0 close paren and a focus at open paren 10 comma 0 close paren Which are the equations of the directrices?

Revolt · Accepted Answer

x is equal to plus or minus 18 fifths

Equations of Hyperbolas — Quiz Answers

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