Circles & Parabolas

What is the equation of a circle with center (3, -2) and radius 5?

• (x + 3)^2 + (y - 2)^2 = 25

• (x - 3)^2 + (y - 2)^2 = 25

• (x - 3)^2 + (y + 2)^2 = 25

• (x - 3)^2 + (y + 2)^2 = 5

Graph the parabola y = x^2 - 4x + 3. What is the vertex of the parabola?

• (3, 2)

• (0, 3)

• (2, -1)

• (1, 1)

If the equation of a circle is (x-2)^2 + (y+5)^2 = 36, what is the center of the circle?

• (2, -5)

• (0, 0)

• (4, 3)

• (-2, 5)

Write the vertex form of the parabola y = 2(x-3)^2 + 4.

• y = 2(x-3)^2 - 4

• y = 2(x+3)^2 + 4

• y = 2(x-3)^2 + 4

• y = 2(x-3)^2 + 2

What is the radius of a circle with diameter 10 units?

• 10 units

• 3 units

• 5 units

• 15 units

What is the equation of a circle with center (1, 1) and passing through the point (4, 5)?

• (x - 1)^2 + (y - 1)^2 = 16

• (x - 1)^2 + (y - 1)^2 = 25

• (x - 4)^2 + (y - 5)^2 = 25

• (x + 1)^2 + (y + 1)^2 = 25

Graph the parabola y = -2x^2 + 4x - 1. What is the vertex of the parabola?

• (0, 3)

• (2, -1)

• (1, -3)

• (-1, 4)

If the equation of a circle is x^2 + y^2 - 6x + 4y + 9 = 0, what is the center of the circle?

• (3, -2)

• (4, -1)

• (2, -4)

• (5, -3)

Write the vertex form of the parabola y = (x-2)^2 - 3.

• y = (x+2)^2 - 3

• y = (x-2)^2 - 3

• y = (x+2)^2 + 3

• y = (x-2)^2 + 3

What is the diameter of a circle with radius 8 units?

• 10 units

• 4 units

• 16 units

• 24 units