Pre-Cal Quiz 2 Parabola

Question 1

The set of all points P such that its distance from a ‘fixed point (_) and from a fixed line’ are the same is called a ________.

Answer 1

F, Parabola

Question 2

The point F is called the ______ and the line called ________

Answer 2

Focus, Directrix

Question 3

Any point on the parabola has the same ________ from the focus as it has from the _________.

Answer 3

Distance, Directrix

Question 4

The point midway between the focus and the directrix and is _ units from both the focus and directrix.

Answer 4

Vertex, c units

Question 5

It is the turning point of the parabola where the ________ pass through and divides the parabola into two mirror images of each other.

Answer 5

Vertex, Axis of Symmetry

Question 6

If the parabola opens upward the vertex is ____________, if it opens downward the vertex is _____________.

Answer 6

at the lowest point, the highest point

Question 7

____________
! If the parabola opens upward or downward the this of the parabola is a ____________ ( x = +_ h)
! If the parabola opens to the left or to the right has this as a ____________ ( y = +_ k)

Answer 7

Axis of Symmetry, vertical line, horizontal line

Question 8

It is a point that is collinear and equidistant with the endpoints of the latus rectum.

Answer 8

Focus

Question 9

It is c units from the vertex and ___________ from the directrix.

Answer 9

Focus, 2c units

Question 10

The line passing through the focus and joining the endpoints on the parabola

Answer 10

Latus Rectum

Question 11

Latus Rectum, __________ to the axis and ___________ to the directrix.

Answer 11

perpendicular, parallel

Question 12

Its length is ____________ and _________ from the focus to each endpoint.

Answer 12

Latus Rectum, 4c units, 2 units

Question 13

A line that is __ units from the vertex and ______ units from the focus.

Answer 13

Directrix, c units, 2c units

Question 14

Perpendicular to the axis, _________ (y = +_ c) if the parabola opens upward or downward.

Answer 14

Directrix, horizontal line

Question 15

Perpendicular to the axis, and if parabola opens to the left or to the right, the directrix is a ___________ (x = +_ c)

Answer 15

vertical line

Question 16

Standard Equation of Parabola. If Vertex at V (h,k) and opens downward.

Answer 16

(x - h)^2 = - 4c (y - k)

Question 17

Standard Equation of Parabola. If Vertex at V (h,k) and opens upward.

Answer 17

(x - h)^2 = 4c (y - k)

Question 18

Standard Equation of Parabola. If Vertex at V (h,k) and opens to the right.

Answer 18

(y - k)^2 = 4c (x - h)

Question 19

Standard Equation of Parabola. If Vertex at V (h,k) and opens to the left.

Answer 19

(y - k)^2 = -4c (x - h)

Question 20

Standard Equation of Parabola. If Vertex at the origin and (1) opens upward (2) opens downward

Answer 20

(1) x^2 = 4cy (2) x^2 = -4cy

Question 21

Standard Equation of Parabola. If Vertex at the origin and (1) opens to the right (2) opens to the left

Answer 21

(1) y^2 = 4cx (2) y^2 = -4cx

Question 22

(1) Axis of Symmetry and (2) Directrix of Parabola that opens upward or downward.

Answer 22

AoS: Vertical, Equation: x = 0 or +_ h
Directrix: Horizontal, Equation: +_ c

Question 23

(1) Axis of Symmetry and (2) Directrix of Parabola that opens to the left or to the right.

Answer 23

AoS: Horizontal, Equation: y = 0 or +_ k
Directrix: Vertical, Equation: +_ c