# algebra

How would one write the equation of a parabola whose directrix is y=-6 and location of the focus is (-3,2)

1. 👍 0
2. 👎 0
3. 👁 142
1. F(-3,2)

V(-3,K)

D(-3,-6)

DV = VF,
K-(-6) = 2 - K,
K + 6 = 2 - K,
2K = 2 - 6 = -4,
K = -2.

V(-3,-2)

1/4a = DV = VF,
1/4a = 2-K,
1/4a = 2 - (- 2),
1/4a = 4,
16a = 1,
a = 1/16.

Y = a(x-h)^2 + k,
Eq: Y = 1/16(x+3)^2 -2. Vertex Form.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Pre Cal

write the equations of the parabola, the directrix, and the axis of symmetry. vertex: (-4,2) focus: (-4,6) if someone could explain how to do this problem then that would be great! thanks in advance! Formats to help you find the

2. ### Math

Please Check My Answers!!! What is the type of conic section is given by the equation x^2-9y^2=900 and what is the domain and range? Answer: Type is hyperbola, Domain is all real values of x, not sure what the range is. Please

3. ### algebra

Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4

4. ### MATH

What is the equation of the parabola with a directrix at y = 4 and focus (0, -4).

1. ### pre cal

What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola? (5 points) A) 3x^2 + y^2 + 12x - 7 = 0 B) 3x^2 + 3y^2 + 12x - 7 = 0 C) 3x^2 + y + 12x - 7 =

2. ### maths

Given that the equation of the parabola is 5y^2 + 24x = 0. Find (1)The Axis and vertex of the parabola (ii)The focus and the directrix (iii)The distance from the directrix to the focus

3. ### Algebra 2

The equation of a parabola is 12y=(x-1)^2-48. Identify the vertex, focus, and directrix of the parabola.

4. ### math

Find the equation of the parabola with it's focus at (-4,7) and directrix y=1 Is y+4=-1/12(x-4)^2 Right or is it y-7=1/24(x=a)^2 y-4=1/12(x+4)^2 y-3=1/24(x+4)^2

1. ### algebra

A few more question Id like for someone to check please. 1) what are the vertex, focus, and directrix of the parabola with the given equation? x^2-8x-28y-124=0 vertex (4,-5) focus (0,7) directrix y=-12 2) write an equation of a

2. ### Math

Write an equation in standard form for each parabola. Vertex (0, 0) and directrix y = 6. y = -1/24x^2?

3. ### Geometry

A parabola has a focus of F(2,8.5) and a directrix of y=9.5. The point P(x,y) represents any point on the parabola, while D(x,9.5) represents any point on the directrix. Maria was asked to use the distance formula to write an

4. ### Algebra2

Write an equation of a parabola with a vertex at the origin and a directrix at y=-5. my answer is focus 6,0, directrix =-6