conic sections

conic sections

10th - 12th Grade

30 Qs

quiz-placeholder

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conic sections

conic sections

Assessment

Quiz

Mathematics

10th - 12th Grade

Easy

CCSS
HSG.GPE.A.3, HSG.GPE.A.2, HSG.GPE.A.1

+4

Standards-aligned

Created by

Barb Pischke

Used 1+ times

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30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the directrix of the parabola
(x - 4)2 = 8(y + 3)?

y = - 3
x= 5
y= - 5
y= 2

Tags

CCSS.HSG.GPE.A.2

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the focus of the following parabola?
(y + 5)= -12 (x - 2)

(2, - 5)
( -5, 2)
(1 , -5 )
(-1, -5 )

Tags

CCSS.HSG.GPE.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the center of the ellipse?

(0, 0)
(1, 5)
(1, 0)
(0, 1)

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write an equation for the ellipse with each set of characteristics. Then answer the question.

Vertices ( -2, -4), (-2, 8)

Length of minor axis is 10

(x+26)2+(y25)2=1\left(\frac{x+2}{6}\right)^2+\left(\frac{y-2}{5}\right)^2=1

(x26)2+(y25)2=1\left(\frac{x-2}{6}\right)^2+\left(\frac{y-2}{5}\right)^2=1

(x+25)2+(y26)2=1\left(\frac{x+2}{5}\right)^2+\left(\frac{y-2}{6}\right)^2=1

(x25)2+(y+26)2=1\left(\frac{x-2}{5}\right)^2+\left(\frac{y+2}{6}\right)^2=1

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What direction does the parabola open?

(y-9)2 = -4(x+4)

Up

Down

Left

Right

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is "a" and the vertex in the equation:

(y-9)2 = -4(x+4)

14-\frac{1}{4} ; (-4,9)

14-\frac{1}{4} ; (9,-4)

- 4; (-4,9)

-4; (9,-4)

-4; (-4,-9)

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write parametric equations for the ellipse with the set of characteristics.

Vertices ( 3, 4), (-9, 4)

Length of minor axis is 8

x=3+6cosT; y=4+4sinTx=-3+6\cos T;\ y=4+4\sin T

x=3+6sinT; y=4+4cosTx=-3+6\sin T;\ y=4+4\cos T

x=3+4cosT; y=4+6sinTx=3+4\cos T;\ y=-4+6\sin T

x=3+4cosT; y=4+6sinTx=-3+4\cos T;\ y=4+6\sin T

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