Geometry circle equation, parabola and complete the square

Write the equation of the circle with center at (–7, 11), radius 8

• (x – 7)² + (y + 11)² = 256

• (x + 7)² + (y – 11)² = 64

• (x – 7)² + (y + 11)² = 64

• (x + 7)² + (y – 11)² = 256

What would you add to complete the square?

x ² + 18x + __________ = 19 + ___________

• 18

• 9

• 81

• 19

What are the factors of the quadratic

x² - 16x + 64

• (x + 64)²

• (x+8)²

• (x- 16)²

• (x- 8)²

Identify the center and radius given the standard form of the equation of a circle

(x + 3)² + (y - 7)² = 36

• Center: (-3,7); Radius: 6

• Center: (-3,7); Radius: 36

• Center: (3,-7); Radius: 36

• Center: (3,-7); Radius: 6

Find the focus, and directrix of the parabola: x² = 28y

• Focus: (0,7) Directrix: y= -7

• Focus: (7,0) Directrix: y=7

• Focus: (0,-7) Directrix: x= -7

• Focus: (7, 0) Directrix: x=7

Which equation below represents a parabola that opens upward?

• y² = -18x

• y² = 16x

• x² = -20y

• x² = 8y

Which equation below represents a parabola that opens to the right?

• y² = -8x

• y² = 24x

• x² = -16y

• x² = 8y

Find the focus, and directrix of the parabola: x² = -16y

• Focus: (0,-4) Directrix: x= 4

• Focus: (0,-4) Directrix: y= 4

• Focus: (4,0) Directrix: y= -4

• Focus: (-4,0) Directrix: y= -4

What is the focal width of the parabola?

y² = -28x

• 28

• -28

• 7

• -7

Find the focus, and directrix of the parabola: y² = - 32x

• Focus: (0,-8) Directrix: x= -8

• Focus: (0,-8) Directrix: y= 8

• Focus: (-8,0) Directrix: x = -8

• Focus: (-8,0) Directrix: x= 8