Which equation represents an equation of a circle in the standard form?

• 𝑥 + 𝑦 = 7

• 𝑥 + 𝑦 ^2 = 8

• 𝑥 ^2 + 4x + 2 = 0

• 𝑥^ 2 + 𝑦 ^2 = 25

Which of the following represents an equation of a circle in the general form?

• 𝑥 ^2 + 2𝑥 − 4𝑦 + 5 = 0

• 𝑥 ^2 + 2𝑥 − 4𝑦 + 5 = 0

• 𝑥 ^2 + 𝑦 ^2 + 4x − 4y − 28 = 0

• none of these

A circle defined by 𝑥 ^2 + 𝑦^ 2 = 9 has a graph whose center is at ___________.

• origin

• quadrant I

• quadrant II

• quadrant III

A circle with an equation defined by (𝑥 − 5) ^2 + (𝑦 + 3) ^2 = 9 has a graph whose center is located at ___________.

• quadrant I

• quadrant II

• quadrant III

• quadrant IV

What is the center of the circle defined by (𝑥 + 5)^2 + (𝑦 + 3)^2 = 36?

• (5,3)

• (−5,3)

• (−5, −3)

• (5, −3)

What is the equation of the circle whose center is at (0,5) and has a radius of 5?

• 𝑥 ^2 + (𝑦 − 5) ^2 = 25

• 𝑥 ^2 + 𝑦 ^2 = 25

• 𝑥 ^2 + (𝑦 − 5) ^2 = 5

• (𝑥 − 5) ^2 + 𝑦 ^2 = 25

What is the general form of the equation of a circle whose center is at (3,3) and the radius is 4?

• 𝑥 ^2 + 𝑦 ^2 − 6𝑥 - 6𝑦 + 2 = 0

• 𝑥 ^2 + 𝑦 ^2 − 10𝑥 + 10𝑦 + 16 = 0

• 𝑥 ^2 + 𝑦 ^2 − 6𝑥 − 7 = 0

• 𝑥 ^2 + 𝑦 ^2 − 6𝑥 + 7 = 0

Write this in general form, (𝑥 + 2) ^2 + (𝑦 − 2) ^2 = 36

• 𝑥 ^2 - 𝑦^ 2 + 4𝑥 − 4𝑦 − 28 = 0

• 𝑥 ^2 + 𝑦^ 2 + 4𝑥 − 4𝑦 + 28 = 0

• 𝑥 ^2 + 𝑦^ 2 + 4𝑥 − 4𝑦 − 28 = 0

• 𝑥 ^2 + 𝑦^ 2 - 4𝑥 − 4𝑦 − 28 = 0