3. Find the equation of the parabola that opens downwards, has a vertex in the center of the ellipse E: 27x² + y²+ 108x-10y+52 = 0, and passes through the point A(0,4)

Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: Find the equation of the hyperbola with vertices (-7,3) and (1, 3) and foci (-11, 3) and (5,3).…

A: Vertices   -7,3 and     (1,3)Foci                -11,3     and   5,3

Q: Find the equation of the hyperbola with vertices (-2,5) and (-2, 1) and foci (-2, 12) and (-2,-6).…

A:

Q: Write the equation of the ellipse 25x² + 16y² + 50x + 64y – 311 = 0 in standard form 2 (x - h)² (y -…

A:

Q: Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the…

A:

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

A:

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: What is the equation for a parabola

A:

Q: parabola passes through (15,0) (25,30) (35,80). find the equation of the parabola in the form…

A: Given: A parabola passes through (15,0) (25,30) (35,80). To find:- The equation of the parabola in…