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graphing form of circles

Authored by Joseph Allard

Mathematics

9th - 12th Grade

CCSS covered

Used 20+ times

graphing form of circles
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What does (h,k) stand for in the standard circle equation?

(h,k) is the center of the circle

(h,k) is a point on the circle.

(h,k) is a point that we guess and find

(h,k) is the distance of the circle

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the equation of a circle with radius 2 and center (3, 4)?

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

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

In order to convert from general form of a circle to graphing form, you must ___________.

Multiply out

expand

factor

complete the square

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

(x + 5)2 + (y - 2)2 = 144

(x - 5)2 + (y + 2)2 = 36

(x + 5)2 + (y - 2)2 = 36

(x - 5)2 + (y + 2)2 = 12

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the center of the circle with equation x2 + y2 = 1?

(1, 1)

(0, 0)

(0,1)

not enough information

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve the equation.

x2 + 13x + 40 = 0

-8, 5

-40, -1

5, 8

-8, -5

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Convert the to standard form. x2 + y2 + 6x - 10y - 15 = 0

(x + 6)2 + (y - 10)2 = 225

(x + 3)2 + (y - 5)2 = 361

(x + 3)2 + (y - 5)2 = 7

(x + 3)2 + (y - 5)2 = 49

Tags

CCSS.HSG.GPE.A.1

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