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Complete the Square for Circle Equations
Grade Level
ACCUPLACER
AAF.172 Complete the Square for Circle Equations
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The sketch shows the circle's location while the equation 4x
2
+ 4y
2
+ 44x + 36y = -45 gives its algebraic form. Which result follows from completing the square? First divide by the common quadratic coefficient if needed.
A
Standard form: (x - 11/2)
2
+ (y - 9/2)
2
= 157/4; center: (11/2, 9/2); radius: sqrt(157)/2
B
Standard form: (x + 11/2)
2
+ (y + 9/2)
2
= 157/4; center: (-11/2, -9/2); radius: sqrt(157)/2
C
Standard form: (x + 11/2)
2
+ (y - 9/2)
2
= 157/4; center: (-11/2, 9/2); radius: sqrt(157)/2
D
Standard form: (x - 11/2)
2
+ (y + 9/2)
2
= 157/4; center: (11/2, -9/2); radius: sqrt(157)/2
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