For Exercise, write the standard form of an equation of a hyperbola subject to the given conditions. Vertices (0, 13), (0, -11); Slope of asymptotes: + 12

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A: Given:

Q: Find an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

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Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

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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 equation of the parabola with the given properties.  Vertex (0, 0), focus (0, 2)

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Q: - For the hyperbola - = 1, the value of a is the 4 value of b is ,and the transverse axis is the…

A: The general equation of the hyperbola is x2a2-y2b2=1.Here a is the distance from the vertex to the…

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

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

A: From the given diagram, it is clear that vertex, (h,k) = (2,6) and the distance from x-axis is p=2…

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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Q: Find the equation for the parabola that has its focus at The equation is: 19 (- 음.. 4 -7 and has…

A: Given: Parabola has its focus at -194,-7 and has directrix at x=354 To find equation of parabola.…

Q: graph the parabola. determine the focus, vertex, and directrix  x2 = -12y  y2 = -14x  1/8 ( x -…

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Q: Write an equation for the parabola with a vertex at the origin and focus (5,0).

A: Since the vertex and focus are on the x-axis. So the standard form will be: Given that the vertex=…

Q: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

Q: Using the graph, determine the coordinates of the roots of the parabola. y 10 8 5 4. 3 1 -10 -9 -8…

A: Roots of the function from the graph

Q: For Exercise, determine the standard form of an equation of the parabola subject to the given…

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Q: For Exercise, find the standard form of the equation of the ellipse or hyperbola shown.

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Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

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Q: sketch a graph of each parabola. Label the coordinates of the vertex and the equation of the axis of…

A: Solution: The objective is to find the vertex and the axis of symmetry

Q: find the standard form of the equation. characleristics of the parabola with the verlex: (2,-7)…

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+3)²=2(x-4)

A: Given, The parabola y+32=2x-4  We have to find vertex, focus, directrix and axis of symmetry of the…

Q: Using the graph,determine the coordinates of the y-intercept of parabola

A: Introduction: A parabola is a conic section whose eccentricity is less than 1. A parabola is either…

Q: For Exercise, write the standard form of an equation of the ellipse subject to the given conditions.…

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Q: Write the equation of a parabola whose directrix is y = 9 and has a focus at ( – 10, – 5). |

A: Given (-10, -5) is the focus and y=-9 is the directrix of parabola. Let x0, y0 be any point on the…

Q: 12

A: In this question, concept of parabola is applied. Parabola A parabola is a curve equation in which a…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(-1, 0), Focus F(-4, 0)

A: Given that vertex V(-1, 0), Focus F(-4, 0). Thus, h,k=-1,0. Focus: F-4,0=Fh+b,k.

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-4, 2) focus…

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Q: Find an equation of the parabola (in general form) given the following condition: opens upward,…

A: Formula for equation of parabola open upwards is: (x-h)2=4a(y-k) ......(1) Where (h,k) is vertex

Q: Use a graphing device to graph the parabola. y2 = -1/3x

A: Use the parametric form of parabola. The parametric form for the parabola of the form y2=-4ax is…

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: Given: Corners of the reference rectangle: (8, 7), (−6, 7), (8, −3), (−6, −3); Horizontal transverse…

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

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Q: graph the parabola  and determine the focus, vertex and directrix  (3y - 6)2 = 36(x - 2)  x2 + 6x…

A: As we know that the the standard equation of the horizontal parabola is: y-k2=4px-h Where:  Vertex:…

Q: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are -

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Q: For Exercise, determine the standard form of an equation of the parabola subject to the given…

A: Plot the given points line joining focus and vertex is parallel to y axis. That means axis is…

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: Write an equation of the parabola in standard form when focus is (9,0) and directrix is x=-9

A: The equation of parabola having directrix x=aand focus (a,0) is given by=y2=4ax

Q: . All parabolas with x-axis as the axis and (a, 0) as focus.

A: In this question, concept of differential equation is applied. Differential Equation A differential…

Q: Find the vertex, focus, foci and directrix of the parabola (x-6)^2+8(y+7)=0 and sketch its graph

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Q: For the given equation of a parabola, determine the focus, vertex, and directrix. x2 -32y

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Q: For Exercise, write the standard form of an equation of a hyperbola subject to the given…

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: To determine the standard equation of the hyperbola.

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

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Q: What are the slopes of the asymptotes of the hyperbola y? = -1? 4 9. o + o ±을

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: From the given statement, the corners of the reference rectangle are  (7,6), (-1,6), (7,0), (-1,0)…

Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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Q: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

Q: What is an equation of a parabola with the giyen vertex and focus? vertex: (-2, 5); focus: (-2, 6)

A: Use the value of vertex and focus for finding the equation of parabola .

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

A: Given vertex is (-3,0) and focus is (-1,0) find the standard equation of parabola