Locus Vertex Focus

Locus Vertex Focus

11th Grade

19 Qs

quiz-placeholder

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Locus Vertex Focus

Locus Vertex Focus

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSG.GPE.A.1, 7.G.A.3

Standards-aligned

Created by

Anthony Clark

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

a pair of special points used in describing conic sections. A circle and a parabola have one focus; an ellipse and a hyperbola have two foci.

Foci

Directrix

Eccentricity

Vertex of a conic section

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

the locus of all points in the plane such that the absolute value of the difference of the distances from two given points in the plane, called foci, is constant

Circle

Ellipse

Parabola

Hyperbola

Tags

CCSS.7.G.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of a parabola with vertex (3, 4) and focus (7, 4)?

16(x - 3) = (y - 4)2

28(x - 3) = (y - 4)2

-28(x - 3) = (y - 4)2

-16(x - 3) = (y - 4)2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the equation of the parabola with vertex (4,6) and focus (4,9).

(x-4)2 = 12(y - 6)

(x-4)2 = 3(y - 6)

(y-6)2 = 3(x-4)

(y-6)2 = 12(x-4)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

y2 = 24(x+4)

(y+4)2 = -12x

x2 = 16(y+4)

(x+4)2  = -20y

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form?

x²/25 + y²/11 = 1

x²/5 - y²/11 = 1

x²/11- y²/25 = 1

x²/25 - y²/11= 1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the equation of the parabola with vertex (5,1) and Focus (2,1).

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