Completing the Square for Circles Quiz

What is the main focus of the final section of Chapter 4?

• Solving quadratic equations

• Completing the square for circles

• Finding the area of triangles

• Graphing linear equations

Which form of a circle's equation includes x minus h squared plus y minus k squared?

• Graphing form

• Standard form

• Factored form

• Vertex form

In the standard form of a circle's equation, what is the equation set equal to?

• A variable

• A constant

• Zero

• One

What is the first step in converting a circle's equation from standard form to graphing form?

• Add a constant to both sides

• Complete the square for x and y

• Multiply both sides by a constant

• Subtract a constant from both sides

When completing the square for x in the equation x^2 + 4x, what value is added and subtracted?

• 2

• 4

• 16

• 8

What is the center of the circle after completing the square for the equation x^2 + 4x + y^2 + 2y = 11?

• (1, 2)

• (-2, -1)

• (2, 1)

• (-1, -2)

In the second example, what is the radius of the circle after completing the square?

• 4

• 5

• 3

• 2

What operation is performed on the constant terms when moving them to the other side of the equation?

• Subtraction

• Multiplication

• Division

• Addition

What is the final form of the equation x^2 - 4x + y^2 + 6y - 3 = 0 after completing the square?

• (x - 2)^2 + (y + 3)^2 = 16

• (x + 2)^2 + (y - 3)^2 = 16

• (x - 3)^2 + (y + 2)^2 = 16

• (x + 3)^2 + (y - 2)^2 = 16

What is the center of the circle in the final example after completing the square?

• (-2, 3)

• (2, -3)

• (-3, 2)

• (3, -2)