Given information about the graph of a hyperbola, find its equation. center at (2, 4), one vertex at (2, 12), and one focus at (2, 4 + 2V 17) (y - 4)2 (x-2)² 64 30

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions. 1.)…

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Q: Find the center, foci, vertices, asymptotes, and eccentricity of the given hyperbola. Graph the…

A: Given the equation of hyperbola x+2210-y+4225=1 The standard form of hyper bola x2a2-y2b2=1…

Q: Find the standard equation of the hyperbola one branch of which has focus and vertex that are the…

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Q: (x + 3)2 9  −  (y − 5)2 16  = 1  Find the center, vertices, foci, and asymptotes of the…

A: The center is (h,k). For the given equation, center is (-3,5)

Q: Find the vertex, focus and directrix of the parabola given by (x - 2)2 = 4(y + 1)..Then graph the…

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Q: Find the center, vertices, foci, and asymptotes of the hyperbola. Sketch a graph of the hyperbola.…

A: NOTE: Refresh your page if you can't see any equations. .

Q: the equation for the parabola that has its vertex at the origin and has a focus at (0, 3.6).

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Q: Find the standard equation of the hyperbola one branch of which has focus and vertex that are the…

A: Find a, b and c

Q: Find the vertex, focus, and directrix of the parabola with the given equation (y + 3)2 = 12(x + 1).…

A: Given equation (y+3)2= 12(x+1)     →(1)eqn (y-k)2= 4p (x-h) →  (2)where (h,k) = VertexFocus = (h+p ,…

Q: give equations for hyperbolas and tell how many units up or down and to the right or left each…

A: Solution:Given    y2-x2=1c=a2+b2=1+1=2center (0,0)  vertices (0,±1)asymptote=±x=y   y=±x

Q: Find the center, foci, vertices, asymptotes, and eccentricity of the given hyperbola. Graph the…

A: The given equation is 2y2-9x2-18x+20y+5=0. Get the LHS in terms of squares:…

Q: give equations for hyperbolas and tell how many units up or down and to the right or left each…

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Q: The equation of the hyperbola that has a center at (10, 3), a focus at (15, 3), and a vertex at (6,…

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Q: The vertex of a parabola is (6, 2), and the equation of its directrix is y= 0. What is the equation…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (y + 1)2 = -8x. Then…

A: given (y+1)2=-8x

Q: Find the vertex, focus, and directrix of the parabola with the given equation (x - 2)2 = 8(y - 1).…

A: Given: x-22=8y-1. for finding vertex, focus and directrix we compare given equation of parabola with…

Q: Find the vertex, focus and directrix of the parabola given by (x - 3)2 = 8(y + 1).Then graph the…

A: Vertex form of a parabola y=a(x-h)2+k Where vertex is (h, k) focus os (h, k+p) where p=14a And…

Q: Draw the graph and find the equation of the hyperbola if the transverse axis of the hyperbola is…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (x + 2)2 = 4(y + 1).…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The vertex of a parabola is (6,2), and the equation of its directrix is y = 0. What is the equation…

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Q: A parabola has a vertex at the origin and a focus of (0, 7/4). What is the equation of the parabola.

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Q: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

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Q: VI. Find an equation of the hyperbola given the following conditions: 7. Center (2, -1), one focus…

A: Center of the hyperbola is 2, -1, one focus is 7, -1 and one vertex is 6, -1. Now center of the…

Q: - 5), and a vertex at Write the equation of the hyperbola that has a center at (1, – 5), a focus at…

A: To Find: Equation of the hyperbola that has center at 1,-5, a focus at 6,-5,and vertex at 5,-5.…

Q: Write the standard form of the equation of the hyperbola subject to the given conditions. 4…

A: To find  The standard form of the equation of the hyperbola subject to the given conditions

Q: Find an equation for the hyperbola described.Graph the equation. Center at(0,0) focus at (0,5)…

A: To find the equation of the hyperbola with center at (0,0), focus at (0,5) and vertex at (0,3) To…

Q: Find the vertex, focus, and directrix of parabola with the given equation x2 - 4x - 2y = 0. Then…

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Q: 3. Graph the hyperbola, put the equation into standard form and identify the asymptotes, vertices,…

A: The given hyperbola equation,      9x2-4y2-36x+8y-4=0

Q: Given 16y² – 9x 144, a. Graph the hyperbola. b. Identify the center, vertices, foci, and equations…

A: Given 16y2 - 9x2 = 144 a) Graph of the hyperbola:-

Q: (b) The equation of a hyperbola is given by x² – 4y² +2x+8y-7=0. Sketch the hyperbola and then label…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (0, ±10),…

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Q: Find the coordinates of the center, foci, and vertices of a hyperbola using the equation (x-1)…

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Q: C4. Find an equation that represents the hyperbola that has its vertices at (4,-1) (-4, -1) and foci…

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Q: A parabola has a vertex at the origin and a focus of (0, 3). What is the equation of the parabola.

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. vertices:…

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Q: Determine the equation of the hyperbola with center (8, −5), a vertex at (8, −2), and a co-vertex at…

A: The objective is to determine the equation of hyperbola.

Q: 6. Find the equation of the parabola in standard form with focus at (7, -6) and vertex 5 units at…

A: As vertex is 5 units to the right of the focus , the coordinates of the vertex is 7,-6+5,0 = 12,-6…

Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: Find the vertex, focus, and directrix of parabola with the given equation (y - 2)2 = -16x. Then…

A: we have to find the vertex, focus and directix of parabola with the given equation y-22=-16x. then…

Q: Given the graph of a hyperbola, find its equation. (The vertices are V = (-10, -4) and V, = (2, -4),…

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Q: Sketch the hyperbola, and label the vertices, foci, and asymptotes. x² -9 y² +4x+18y-7=0 Find an…

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Q: A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror…

A: Solution: Take a ride to the equation of the hyperbola - The standard form of the equation of a…

Q: Find the equation in standard form of the parabola described. Vertex at (- 4,5); focus at (- 3,5)…

A: Vertex of the parabola is -4, 5 and focus is -3, 5. Now vertex is, h, k=-4, 5⇒h=-4  &  k=5 &…

Q: y2 The vertices of the hyperbola with the equation 4 *= 1 are (-2, 2) and (2, 2) (-2, 0) and (2, 0)…

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Q: Find the vertices and locate the foci of hyperbola with the given equation. Then match the equation…

A: Equation of hyperbola : (x-h)2a2-(y-k)2b2=1 and c2=a2+b2 Center = (h,k) a = Distance from center to…

Q: The directrix and vertex of a parabola are shown on the graph. What is the vertex form of the…

A: Given:    Directrix is x = -1     vertex (h,k ) = (-2 , -2 )

Q: Give the coordinates of the center, foci, vertices, and asymptotes of the ff. hyperbola. Sketch the…

A: Given equation: (y-7)236-(x-1)264=1 Compare it with general equation (y-k)2a2-(x-h)2b2=1 The value…

Q: Find an equation for the hyperbola with foci F and that passes through P. Sketch the hyperbola.

A: The given figure is,

Q: Find the vertex, focus, and directrix of the parabola with the given equation (x + 2)2 = -8(y + 2).…

A: x+22=-8y+2 Comparing with x-h2=4py-k, we get h=-2, k=-2, 4p=-8⇒p=-2 Now vertex is, h, k=-2, -2 Focus…

Q: Give the coordinates of the vertices of the hyperbola shown in the figure below. Give your answer as…

A: Please see the answer below