Hyperbola and Parabola

Hyperbola and Parabola

12th Grade

17 Qs

quiz-placeholder

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Hyperbola and Parabola

Hyperbola and Parabola

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Easy

CCSS
HSG.GPE.A.2, HSG.GPE.A.1

Standards-aligned

Created by

Anthony Clark

Used 1+ times

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17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of the hyperbola in standard form.

9x2 - 54x - 4y2 + 16y +101 = 0

Media Image
Media Image
Media Image
Media Image

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the vertex, focus, and directrix of the parabola: x2 = 28y

Vertex: (0, 0) Focus: (0,7) Directrix: y=-7

Vertex: (0, 0) Focus: (7,0) Directrix: y=7

Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7

Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a parabola has a focus at (3,0) and a vertex at the origin...what is the equation of the directrix?

y=3

y=-3

x=3

x=-3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of a parabola with Focus (1,3) and the directrix y = -2 ?

Tags

CCSS.HSG.GPE.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of a parabola with Focus (2,4) and the directrix x = 6

Tags

CCSS.HSG.GPE.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A hyperbola centered at (-3, 2) with a horizontal tranverse axis has asymptotes y-2 = ± ¾(x+3). Which of the following could be the equation of the hyperbola in standard form?

(x + 3)2/16 + (y - 2)2/ 9 = 1

(x + 3)2/ 4 - (y - 2)2/ 3 = 1

(x + 3)2/16 - (y - 2)2/ 9 = 1

(x + 3)2/ 9 - (y - 2)2/ 16 = 1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which type of conic section is this equation?

Parabola

Circle

Ellipse

Hyperbola

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