Find an equation of the Parabola that has focus 11. (-2,3) and Directrix y = A. (x + 2)² = 4 (y - 7) B. (x +2)° = -4 (y – 7) c. (x + 2)² = –16 (y – 7) D. (a + 2)° = 16 (y – 7)

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: 2. CENTER AT (-3, 4); V(-10, 4) length of minor axis = 9

A: Here is the solution

Q: directrix is x=2 and has a focus at (4,9).

A: Here we apply distance of any point of parabola from directrix and focus is same. We took a general…

Q: Find an equation of the parabola with focus (-2,-5) and directrix y=3

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Q: Find an equation of the parabola drawn below: 2 Xx Select one: O a. (x + 2)2 = 2 (y + 2) O b.…

A: We have to find the equation of parabola.

Q: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

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Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: Find the equation of the line that is tangent to the hyperbola at the given point. Write your answer…

A:

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

Q: Graph the equation x2/4+ y2/9 = 1, and give the centerand the endpoints of the major axis

A: Given equation x24+y29=1

Q: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26…

A:

Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: Solve for the equation of a parabola with focus of (-1, -2) and a directrix y = -4. Show solution

A: the equation of a parabola with axis of symmetry parallel to x-axis when the directrix is of the…

Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

A:

Q: graph and find: a. ends of the latus rectum b. equation of the directrix c. equation of the axis…

A: As we know that the standard form of the parabola is: y-k2=4px-h2 vertex: h,kfocal length: p Given:…

Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

Q: The foci of the ellipse with given equation 25 1 are 36 II +

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Q: Find an equation of the parabola drawn below: 0 Select one: 2 X a. (x-2)² = 2 (y + 2) O b. (x + 2)2…

A: We can answer the question as below.

Q: -=8 - 3 = - + 4)² Vertex: (3, -4) 4. p: opens: Ch-4) focus: directrix:

A: The Parabola is  locus of a point whose distance from a  fixed point is equal to its distance from a…

Q: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

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: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

A:

Q: The graph of the equation  (x − 4)2 + (y − 2)2 = 9  is a circle with center  (x, y) =    and…

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…