Determine the equation of the hyperbola with center (−1, −6), a focus at (−1, −16), and a co-vertex at (7, −6).

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: Write the vertex form equation of the parabola: vertex: (2, 2) directerix: x = -1

A: The vertex of the parabola is h, k=2, 2. The directrix is x=-1. The vertex is in the 1st quadrant…

Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

A:

Q: Find the standard equation of the parabola with vertex (0,0) and focus (0,3). In which direction…

A:

Q: Write an equation of the parabola in vertex form that passes through (13, 8) and has vertex (3, 2).…

A:

Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

A:

Q: Find the standard form of the equation of the parabola with the given characteristics, Axis is…

A: To find the standard equation of parabola  Given Axis is parallel to y-axis Parabola passes through…

Q: Determine the equation of the parabola with vertex (2,8) and x-intercepts 0 and 4 in factored form…

A:

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

A:

Q: Find the standard form of a parabola with the following properties: Center at the origin…

A:

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Graph the hyperbola (y+3)2/16-(x+6)2/4=1

A: The given equation is (y+3)2/16-(x+6)2/4=1.

Q: Consider the parabola defined by the equation y = x² - 4x + 3. Find the coordinates of the vertex of…

A:

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: Find an equation of the parabola with vertex (2, −3) and focus (2, −7).

A: (a) The standard  equation of parabola  is           (x - h)2 = 4p (y - k), where the focus is (h, k…

Q: Find an equation of the parabola with vertex (-4,-5) and focus (1,-5)

A:

Q: Graph the hyperbola given by ײ - y² - 72x – 4y +131 - 0.

A: We will graph the hyperbola as shown below