AnswersMath II CR S2 RS3Equation of a Circle

Parabolas Answers

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A parabola can be represented by the equation y2 = –x.

A
focus: ; directrix: x =
Option A
B
focus: ; directrix: x =
Option B
C
focus: (–4,0); directrix: x = 4
D
focus: (4,0); directrix: x = –4
5

A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis.

A
the origin
B
the negative part of the x-axis
C
the positive part of the x-axis
D
the negative part of the y-axis
6

A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis.Which statements about the parabola are true? Select two options.The directrix will cross through the positive part of the y-axis.The equation of the parabola will be in the form y2 = 4px where the value of p is negative.The equation of the parabola will be in the form x2 = 4py where the value of p is positive.The equation of the parabola could be y2 = 4x.The equation of the parabola could be x2 = y.

Question illustration
A
The directrix will cross through the positive part of the y-axis.
B
The equation of the parabola will be in the form y2 = 4px where the value of p is negative.
C
The equation of the parabola will be in the form x2 = 4py where the value of p is positive.
D
The equation of the parabola could be y2 = 4x.
E
The equation of the parabola could be x2 = y.
Option E
7

Which graph represents the equation y2 = –4x?

A
On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 1, 0), and a directrix at x = 1.
Option A
B
On a coordinate plane, a parabola opens down. It has a vertex at (0, 0), a focus at (0, negative 1), and a directrix at y = 1.
Option B
C
On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 4, 0), and a directrix at x = 4.
Option C
D
On a coordinate plane, a parabola opens down. It has a vertex at (0, 0), a focus at (0, negative 4), and a directrix at y = 4.
Option D

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