AnswersPrecalculusConic Sections: Parabolas

Conic Sections: Parabolas — Quiz Answers

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1
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Which is the directrix of a parabola with equation x squared is equal to 4 y ?

A
y is equal to 1
B
x is equal to 1
C
y is equal to negative 1
D
x is equal to negative 1
2
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Which is the directrix of a parabola with equation x squared is equal to 8 y ?

A
x is equal to 2
B
x is equal to negative 2
C
y is equal to 2
D
y is equal to negative 2
3

Which is the standard form of the equation of the parabola that has a vertex of open paren negative 4 comma negative 6 close paren and a directrix of y is equal to 3 ?

A
open paren x minus 4 close paren squared is equal to negative 28 times open paren y minus 6 close paren
B
open paren x plus 4 close paren squared is equal to negative 36 times open paren y plus 6 close paren
C
open paren y plus 4 close paren squared is equal to 36 times open paren x plus 6 close paren
D
open paren y minus 4 close paren squared is equal to 28 times open paren x minus 6 close paren
4

Which is the focus of a parabola with equation y squared is equal to 4 x ?

A
open paren 0 comma 1 close paren
B
open paren 1 comma 0 close paren
C
open paren 0 comma negative 1 close paren
D
open paren negative 1 comma 0 close paren
6

Which is the focus of a parabola with equation y squared is equal to negative 12 x ?

A
open paren 0 comma 3 close paren
B
open paren negative 3 comma 0 close paren
C
open paren 0 comma negative 3 close paren
D
open paren 3 comma 0 close paren
7

Which is the standard form of the equation of a parabola with a focus of open paren 0 comma negative 3 close paren and its vertex at the origin?

A
x squared is equal to negative 12 y
B
x squared is equal to 12 y
C
y squared is equal to negative 12 x
D
y squared is equal to 12 x
8

What are the vertex, focus, and directrix of the parabola with the equation x squared plus 8 x plus 4 y plus 4 is equal to 0 ?

A
vertex open paren negative 4 comma 3 close paren ; focus open paren negative 4 comma 2 close paren ; directrix y is equal to 4
B
vertex open paren 4 comma negative 3 close paren ; focus open paren 4 comma negative 7 close paren ; directrix y is equal to 1
C
vertex open paren negative 4 comma 3 close paren ; focus open paren negative 4 comma negative 1 close paren ; directrix y is equal to 7
D
vertex open paren 4 comma negative 3 close paren ; focus open paren 4 comma negative 4 close paren ; directrix y is equal to negative 2
9

Which is the axis of symmetry of a parabola with equation y squared is equal to negative 8 x ?

A
y is equal to 0
B
x is equal to 0
C
x is equal to 2
D
y is equal to negative 2
10

Which is the axis of symmetry of a parabola with equation x squared is equal to negative 4 y ?

A
x is equal to 0
B
x is equal to 1
C
x is equal to negative 1
D
x is equal to negative 4

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