AnswersEHS New Credit Topics in GeometryFigures in the Coordinate Plane (Sec 9-1)

Parabolas Answers

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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
2
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A parabola has a vertex at the origin. The equation of the directrix of the parabola is y = 3.

A
(0,3)
B
(3,0)
C
(0,–3)
D
(–3,0)
3

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
4

A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4.

A
up
B
down
C
right
D
left
5

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.

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
6

A parabola is represented by the equation y2 = 5x.

A
y = –20
B
x = –20
C
y =
Option C
D
x =
Option D
7

The focus of a parabola is located at (4,0), and the directrix is located at x = –4.

A
y2 = –x
B
y2 = x
C
y2 = –16x
D
y2 = 16x
8

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

A
up
B
down
C
left
D
right
9

A parabola, with its vertex at the origin, has a directrix at y = 3.Which statements about the parabola are true? Select two options.

A
The focus is located at (0,–3).
B
The parabola opens to the left.
C
The p value can be determined by computing 4(3).
D
The parabola can be represented by the equation x2 = –12y.
E
The parabola can be represented by the equation y2 = 12x.
10

A parabola can be represented by the equation x2 = –20y.

A
(–5,0)
B
(5,0)
C
(0,5)
D
(0,–5)

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