Figures on the Coordinate Plane

Graph the circle with the equation x² + y² = 25 on the coordinate plane. What are its center and radius?

• Center: (2, 2), Radius: 7

• Center: (0, 0), Radius: 5

• Center: (5, 0), Radius: 10

• Center: (0, 5), Radius: 3

Determine the center and radius of the circle represented by the equation 2x² + 2y² - 8x + 4y = 0.

• Center: (0, 0), Radius: 4

• Center: (3, 2), Radius: 2

• Center: (2, -1), Radius: √5

• Center: (1, 1), Radius: 3

Graph the following geometric figures on the coordinate plane: y = 2x + 1 and y = -x + 4. What is the point of intersection?

• (1, 3)

• (2, 5)

• (3, 2)

• (0, 1)

If a circle has the equation x² + y² - 10x + 6y + 9 = 0, what is its center and radius?

• Center: (3, 2), Radius: 5

• Center: (5, -3), Radius: √34

• Center: (0, 0), Radius: 10

• Center: (4, -4), Radius: √20

Graph the line y = -3 and the circle x² + (y - 2)² = 9. How many points of intersection do they have?

• 0

• 3

• 2

• 1

What is the y-coordinate of point E in Figure W?

• 1

• 3

• 4

• 5

If Figure W is translated down 6 units, what will be the new y-coordinate of point F (4, 5)?

• 11

• 5

• -1

• -6

What is the coordinate of point E on the star diagram?

• (-6, 0)

• (-4, 0)

• (-2, 0)

• (0, 0)

After translating Figure W, what is the y-coordinate of point D (6, 3)?

• A) 9

• B) 3

• C) -3

• D) -6

Make a conjecture about how a horizontal translation affects the coordinates of any point (x, y).

• It changes the x-coordinate

• It changes the y-coordinate

• It changes both coordinates

• It does not change any coordinates.