Find a Parabola with Vertex (3,1) Focus (4,1)

Find the vertex of 4y^2+4y-16x+13=0

Find the center of an ellipse 9x^2+4y^2-36x-24y-36=0

Find an ellipse with minor axis of 8 and vertices at (-9,3),(7,3)

2 answers

answers please btw steps arent necessary
1. V(3 , 1), F(4 , 1).

X = a(Y - k)^2 + h,
VF = 1/4a = 4 - 3 = 1,
1/4a = 1,
4a = 1,
a = 1/4.

Eq: X = 1/4(Y - 1)^2 + 3.

2. 4Y^2 + 4Y - 16X +13 = 0.

-16X + 4Y^2 + 4Y = -13,
-4X + Y^2 + Y = -13/4,
-4X + Y^2 + Y + (1/2)^2 = -13/4 + 1/4.
-4X + ((Y + 1/2)^2 = -12/4 = -3,
-4X = -(Y + 1/2)^2 - 3,
X = 1/4(Y + 1/2)^2 + 3/4.

V(3/4 , -1/2).
Similar Questions
  1. Find a Parabola with Vertex (3,1) Focus (4,1)Find the vertex of 4y^2+4y-16x+13=0 Find the center of an ellipse
    1. answers icon 2 answers
  2. What are the vertex and focus of the parabola with equation y=x2+8x+10?Identify the vertex. (1 point) Responses vertex: (-4, 6)
    1. answers icon 1 answer
  3. I have a parabola vertex (11,3)p is not given, focus pt is not given. I need to find the equation of the parabola. How would I
    1. answers icon 0 answers
  4. What are the vertex and focus of the parabola with equation y=x2−6x+15? Identify the vertex. (1 point) Responses vertex: (6,
    1. answers icon 1 answer
more similar questions