FINAL EXAM REVIEW: Conic Sections

Authored by Sabine Moses

Mathematics

9th - 12th Grade

CCSS covered

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25 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

(3,2)

(-3, -2)

(-2, -3)

(2, 3)

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the center of the given equation?

(h, k) = (4, 3)

(h, k) = (-4, -3)

(h, k) = (-4, 3)

(h, k) = (4, -3)

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the center and the length of a and b.

C: (0,4) a= 25, b=4

C: (0,0) a= 4, b=25

C: (0,5) a= 2, b=5

C: (0,0) a= 5, b=2

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the vertices of the ellipse?

(0, 0)

(7, 1) and (-1, 1)

(3, -5) and (3, 7)

(3, 1)

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How will you know if an ellipse is vertical?

The denominators will all be the same

The bigger denominator will be under the x

The bigger denominator will be under the y

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

$x=\frac{1}{24}y^2-4$

$x=-\frac{1}{12}\left(y+4\right)^2$

$y=\frac{1}{16}x^2-4$

$y=-\frac{1}{20}\left(x+4\right)^2$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which parabola has a vertex at
$(-3,0)$ ?

$x=\frac{1}{8}(y+3)^2$

$y=\frac{1}{8}(x+3)^2$

$y=\frac{1}{8}(x-3)^2$

$x=\frac{1}{8}(y-3)^2$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What type of conic section is $3x^2-y^2-11x+4=0$ ?

Ellipse

Circle

Hyperbola

Parabola

Tags

CCSS.HSG.GPE.A.1

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What type of conic section is
$2x^2+2y^2-4x-16y-9=0$ ?

Circle

Ellipse

Parabola

Hyperbola

Tags

CCSS.HSG.GPE.A.1

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FINAL EXAM REVIEW: Conic Sections

In the equation (x-3)2+(y-2)2=16, the center of the circle is...

In the equation (x+2)2+(y-3)2=4, the radius of the circle is...

What is the center of the given equation?

Identify the center and the length of a and b.

What are the vertices of the ellipse?

How will you know if an ellipse is vertical?

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

Which parabola has a vertex at (−3,0)(-3,0)(−3,0) ?

What type of conic section is 3x2−y2−11x+4=03x^2-y^2-11x+4=03x2−y2−11x+4=0 ?

What type of conic section is 2x2+2y2−4x−16y−9=02x^2+2y^2-4x-16y-9=02x2+2y2−4x−16y−9=0 ?

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Discover more resources for Mathematics

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

Which parabola has a vertex at
$(-3,0)$ ?

What type of conic section is $3x^2-y^2-11x+4=0$ ?

What type of conic section is
$2x^2+2y^2-4x-16y-9=0$ ?