The center of a hyperbola is (-2,4), and one vertex is (-2, 7). The slope of one of the asymptotes is What is the equation of the hyperbola in standard form? Enter your answer by filling in the boxes. = 1

Q: Find equations for the asymptotes to the hyperbola described by 49x² – 25y² – 294x – 100y : 884.

A:

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions, Foci: (-8,…

A: Foci are -8, 0, 8, 0 and vertices are -3, 0, 3, 0. Since the foci and vertices lies on x-axis, the…

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: Write the equation for the hyperbola with foci (-12, 6), (6, 6) and vertices (–10, 6), (4, 6). =1…

A: The hyperbola with foci (-12,6), (6,6) and vertices (-10,6), (4,6)

Q: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

A:

Q: Find the general equation of the hyperbola with vertices (2, 0) and (-2, 0) and focus (-4, 0)

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Standard form of the parabola is:  Where (h,k)= vertex  p= distance between vertex and focus

Q: Find the equations of the asymptotes for the hyperbola 16x2 - 9y2 = 25

A: Find the equations of the asymptotes for the hyperbola 16x2 - 9y2 = 25

Q: Find an equation of the parabola with vertex (-1, 3) and directrix y = -3. ローロ

A: Topic:- parabola equation

Q: Determine the equation of the hyperbola and its asymptotes if it has:  A)Foci F1 (7, 0) and F2 (-…

A: Let, a and b be the length of semi-major axis and semi-minor axis respectively.Given that, vertices…

Q: Find an equation of the parabola with vertex (3,4) and focus (3,6)   .

A:

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: Find an equation for the hyperbola whose graph is below. The standard form of the equation is

A: Answer

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex:…

A: To find the standard form of the equation of the parabola with the below characteristics. Vertex:…

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

A:

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: The vertex of the parabola with focus (-2,-4) and directrix y - 4 is o (1,-4) 0 (-2,1) O (0,-4) O…

A: Given,drectrix of parabola is y=4,And focus is at (-2,-4)It is clear that parabola is open down,and…

Q: Find an equation for the parabola with vertex (0, 0) and focus (6, 0).

A:

Q: Determine the equation of the hyperbola using the information given. vertices located at (3, 0),…

A: Given query is to find the equation of the Hyperbola.

Q: Find the equation for the graph of the hyperbola with vertices at (4,0) and (-4,0) and one focu at…

A: Given: Vertex : 4, 0 and -4, 0Focus : -6, 0 We need to find the equation of the hyperbola. The…

Q: Find an equation of the parabola with vertex (-1,3) and directrix y=7 .

A:

Q: A parabola has a vertex at the origin and a focus of (0, - 7). What is the equation of the parabola.

A:

Q: find the equation of the parabola with the given properties. Vertex (3, 4), directrix y = −2

A: The point of intersection of the parabola and its axis is called Vertex. The general form of the…

Q: find the equation of the parabola with the given properties. Vertex (0, 0), directrix y = −5

A:

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

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

Q: Write the equation of a parabola with vertex (0,0) and directrix y =-3

A:

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

A:

Q: Write the equation of the hyperbola that has its center at the orgin vertices on the y-axis 8 units…

A: solution is given below..

Q: Find an equation of the parabola with vertex (−4, −2) and directrix y=−7.

A:

Q: Find an equation for a parabola with vertex (3, – 6) and focus (3, – 1) -

A: We have to use general equation of parabola.

Q: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Parabola Question

Q: find the equation of a hyperbola

A: Given: The asymptotes y=±53x and vertices (-6, 0), (6, 0) To find: The equation of a hyperbola.

Q: Find the equation of a hyperbola with vertices at (-2,5) and (6,5) and focus at (8,5)

A: Given, vertices=(-2,5)&(6,5) , focus=(8,5)

Q: Find the equation for the parabola with vertex (-3,0) and focus (0,0).

A:

Q: Write the standard form of an equation of a hyperbola with vertices (−1, −3) and (5, −3) and slope…

A:

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 the equation of the hyperbola with vertices (-4,7) and (-4, –9) and foci (-4, 8) and (-4, –10).…

A: A detailed solution is given below.

Q: Find the equation of the hyperbola with the following properties. Express your answer in standard…

A: Given:

Q: Find an equation of the parabola with vertex (5, – 1) and directrix y = -4.

A:

Q: · Write an equation for the parabola with vertex at (4, –1), opening upward, and with a vertical…

A:

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 5) and…

A: If the transverse axis is parallel to the y-axis and centre origin then the equation of the…

Q: Find the standard form of the equation of the parabola with vertex (3, −4) andfocus (6, −4).

A: Given that, the vertex of a parabola is (3, −4), and its focus is (6, −4). Since the focus (3, −4)…

Q: Find the equation of the upward asymptote of the hyperbola whose equation is (x - 2)² (y+4)² 9 16 =…

A: Given equation of hyperbola (x-2)29-(y+4)216=1That is (x-2)232-(y-(-4))242=1copare with…

Q: Find the equation of the hyperbola with the given properties Vertices (0, –9), (0, 8) and foci (0,…

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Q: Vertices at (0, 4) and (0, -4); passes through (6, 5)

A:

Q: Find an equation for the hyperbola whose transverse axiS is horizontal, with center at (6, -3) and…

A:

Q: find the equations of the asymptotes of each hyperbola. 4x2 - y2 = 16

A: Given equation is 4x2-y2=16

Q: Find the standard form of the equation of the parabola with the given characteristics vertex (-4,2)…

A: Given: Vertex =-4,2 Focus =-4,0 Since the x-coordinate of vertex and focus is the same. Thus this…