The General Equation of Conic Sections - Quiz Quiz

Question 1

Which equation represents an ellipse?

Revolt · Accepted Answer

A: 9 x squared plus 3 x plus 9 y squared minus 2 y plus 5 is equal to 0

Question 2

What is the standard form of the following equation? 4 x squared plus 9 y squared plus 24 x minus 36 y plus 36 is equal to 0

Revolt · Accepted Answer

A: the fraction with numerator open paren x plus 3 close paren squared and denominator 9 plus the fraction with numerator open paren y minus 2 close paren squared and denominator 4 is equal to 1

Question 3

The graph of y squared plus 8 y minus 4 x minus 24 is equal to 0 is a parabola. Where is the vertex located?

Revolt · Accepted Answer

B: open paren negative 1 comma negative 4 close paren; C: open paren negative 6 comma negative 4 close paren

Question 4

Which equation represents a parabola?

Revolt · Accepted Answer

D: negative 3 x plus 4 y squared minus 2 y plus 6 is equal to 0

Question 5

Write the equation y squared plus 6 y minus 12 x minus 39 is equal to 0 in standard form.

Revolt · Accepted Answer

B: open paren y plus 3 close paren squared is equal to 12 times open paren x plus 4 close paren

Question 6

Write the equation y squared plus 6 y minus 12 x minus 39 is equal to 0 in standard form.

Revolt · Accepted Answer

D: open paren y plus 3 close paren squared is equal to 12 times open paren x plus 4 close paren

Question 7

Convert the equation into standard form. 25 x squared minus 9 y squared plus 200 x plus 18 y plus 166 is equal to 0

Revolt · Accepted Answer

A: the fraction with numerator open paren x plus 8 close paren squared and denominator 9 minus the fraction with numerator open paren y minus 2 close paren squared and denominator 25 is equal to 1; D: the fraction with numerator open paren x minus 8 close paren squared and denominator 9 minus the fraction with numerator open paren y plus 2 close paren squared and denominator 25 is equal to 1

Question 8

Graph the fraction with numerator open paren x minus 4 close paren squared and denominator 4 plus the fraction with numerator y squared and denominator 9 is equal to 1

Revolt · Accepted Answer

D: Image with description On a coordinate plane, an Ellipse has center (4, 0) and goes through (6, 0), (4, negative 3), (2, 0) and (4, 3).

Question 9

What is the standard form of the following equation? 4 x squared plus 9 y squared plus 24 x minus 36 y plus 36 is equal to 0

Revolt · Accepted Answer

D: the fraction with numerator open paren x plus 3 close paren squared and denominator 9 plus the fraction with numerator open paren y minus 2 close paren squared and denominator 4 is equal to 1

Question 10

Which conic section is represented by the following equation? 9 x squared minus 5 x minus 3 y squared minus 2 y plus 4 is equal to 0

Revolt · Accepted Answer

A: hyperbola

The General Equation of Conic Sections - Quiz Quiz Answers

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