AnswersSS Integrated Math IIB 2026Parabolas (Sec 9-4)

Parabolas (Sec 9-4) Answers

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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
2
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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
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 is represented by the equation x2 = 4y.

A
(0,4)
B
(0,1)
C
(1,0)
D
(4,0)
5

A general formula for a parabola is y2=4px.What is the value of p in the equation y2=−4x?

A
P=−4
B
P=−1
C
P=1
D
P=4
6

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
7

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

A
(–5,0)
B
(5,0)
C
(0,5)
D
(0,–5)
8

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
9

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
10

The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2.

A
y2 = –2x
B
x2 = –2y
C
y2 = –8x
D
x2 = –8y

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Parabolas (Sec 9-4) Answers — SS Integrated Math…