Complete the Square Circles

What is the equation of the circle with the given information?

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to 
(x)²+ (y-6)²=9

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

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

Find the center and radius of the circle: x²+y²+14x-2y=-1

• center= -7,2 radius= 3

• center= -7,1 radius= 7

• center= -4,1 radius= 5

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)^2 + (y - 3)^2 = 25^ ?

• Centre  (4,3)
  Radius = 5 units

• Centre  (4,3)
  Radius = 25 units

• Centre  (-4,-3)
  Radius = 25 units

• Centre  (-4,-3)
  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (7,-3) and radius 8 units?

• (x - 7)^2 + (y + 3)^2 = 8

• (x - 7)^2 + (y + 3)^2 = 64

• (x + 7)^2 + (y - 3)^2 = 8

• (x + 7)^2 + (y - 3)^2 = 64

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x - a)² + (y - b)² = r² ?

• Centre (a,b)
  Radius = r^2 units

• Centre (-a,-b)
  Radius = r units

• Centre (a,b)
  Radius = r units

• Centre (-a,-b)
  Radius = r^2 units

Tags

CCSS.HSG.GPE.A.1

Write the equation of this circle in standard form. Then sketch it labeling the center and endpoints of the horizontal and vertical diameters using exact coordinates. -6y +x^2 +y^2 +18x-10=100

Tags

CCSS.HSG.GPE.A.1