Completing the Square Write Equation Circle

A circle has the equation  x² + y² - 12x + 8y + 3 = 0.  Use completing the square to write the equation in standard form.

• (x - 6)² + (y + 4)² = 49

• (x + 4)² + (y - 6)² = 49

• (x - 6)² + (y + 4)² = 55

• x² + y² = 55

Tags

CCSS.HSG.GPE.A.1

Change the following equation to standard form
x²+y²-4x+12y-8=0

• (x+2)²+(y-6)²=48

• (x-2)²+(y+6)²=48

• (x-6)²+(y-2)²=48

• (x+2)²+(y-6)²=48

Tags

CCSS.HSG.GPE.A.1

What is the center for the circle with this equation x²+y²+4x+6y-36=0?

• (-2,5)

• (2,7)

• (-2,-3)

Tags

CCSS.HSG.GPE.A.1

Determine the equation of the circle in standard form: x² + y² + 6x - 12y + 20 = 0

• (x-3)² + (y+6)² = 25

• (x+3)² + (y-6)² = 25

• (x-3)² + (y+6)² = 45

• (x+3)² + (y-6)² = 5

Tags

CCSS.HSG.GPE.A.1

Write the standard form of the circle by completing the square: x^2 + y^2 +10y = 39

• x² + (y+5)² = 49

• x² + (y+5)² = 64

• (x+5)² + y² = 61

• (x+5)² + y² = 100

Tags

CCSS.HSG.GPE.A.1

Tags

CCSS.HSG.GPE.A.1

Determine what numbers must go into the blanks shown in order to complete the square to write this equation in standard form for a circle.

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle in standard form:

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

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

• 4

• 2

• 3

• 16

Tags

CCSS.HSG.GPE.A.1

Which of the following graphs match the equation:

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1