Understanding equations and properties about conic sections

What is the standard equation of a parabola with

Vertex (-2, 1) and the directrix is 4 units below the vertex?

What is the Domain?

• y ≥ 6

• all real numbers 

• -10 ≤ y ≤ 6

• -10 ≤ x ≤ 6

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

Convert to vertex form. f(x) = 4x² - 32x +2

• y=4(x+4)² - 62

• y=4(x-4)² - 62

• y=4(x-8)² - 62

• y=4(x+8)² - 62

(0,1) on this parabola is the...

• vertex and maximum 
• vertex and minimum
• axis of symmetry
• focal point

What is the value of p?  
(y - 4)² = -8(x+1)  

• -8
• 2
• 4
• -32

If a parabola has a focus at (3,0) and a vertex at the origin...what is the equation of the directrix?

• y=3

• y=-3

• x=3

• x=-3

Find the equation of a parabola that passes through point (4, -2) with vertex (0, 0).

• y = ¹/₈x²
• x = ¹/₈y²
• y = -¹/₈x²
• y = -¹/₈x² - 2

What is the completed square form of the following parabolic equation:   $y=x^2+8x-3$   ?

•  $y=\left(x+4\right)^2-19$  

•  $y=\left(x+4\right)^2+13$  

•  $y=\left(x+4\right)^2-3$  

•  $y=\left(x+8\right)^2+13$