Given equation for parabola: 3x2+24x-12y=-108 a. What is the standard equation? (Express it in (x-h)2=4c (y-k)) b. What is the vertex, directrix, and focus?

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at y = 7 The…

A: To find the equation of parabola that has tis vertex at the origin and has directrix at y=-17

Q: or the given equation of a parabola, determine the focus, vertex, and directrix. (x – 3)? = 32(y+ 4)…

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Q: The vertex of a parabola is (0,0) and the focus is (30) . What is the equation of the parabola? A.…

A: Given that vextex of parabola is 0,0focus is 18,0To find :equation of parabola.Solution :

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: Convert the equation x2 - 2x - 4y + 9 = 0 to standard form by completing the square on x or y. Then…

A: Given:

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

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

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-8, 3),…

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Q: Find the focus, directrix, vertex and axis of symmetry for the parabola - 12(y + 2) = (x – 2)?. -

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Q: When graphed in the xyxy-plane, what is the yy-coordinate of the vertex of the parabola with…

A: given,       the parabola with equation y=−3(x−4)(x+6)

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: For the given equation of a parabola, determine the focus, vertex, and directrix. x2 – 2x – 6y + 12…

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Q: The equation of a parabola is y = -x 2 -4x + 3 . Give the equation of the axis of symmetry of the…

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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: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

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Q: Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine…

A: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is…

Q: Determine the two equations necessary to graph the hyperbola with a graphing calculator. y? - 64x? =…

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Q: Q1) Find an equation of the following parabola and sketch it where Vertex: (3,2) and Focus:(1,2)

A: Given the vertex 3,2 and the focus 1,2 of a parabola. We need to find the equation of the parabola…

Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: The __________ of a parabola is the point of intersection of the parabola and the axis of symmetry.

A: Consider the below image,

Q: (b) Find the evolute of the parabola y? = 4ax.

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Q: what is the opening of the parabola? x^2-y+4=0    a. right b. left c. upward d. downward

A: Given: y=x2+4 We know that equation of parabolay=ax2+bx+c, open upward if a>0 and open downward…

Q: For the parabola 4x?- 3y = 0, find the co-ordinates of the focus, equation of the directrix and…

A: Given: 4x2-3y=0  ……1

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

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Q: Given the general form of a parabola x2+6x-24y+2=0, what is the distance the focus is from the…

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Q: What is the axis of symmetry of the parabola with equation (y - 1) = 4 (x – 1) ?

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Q: Identify a and b for the hyperbola with equation a2 y? 1. 62 - a = b = %D

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Q: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

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Q: The equation of the family of parabolas with vertex and focus on the x-axis where h and k are…

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Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

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: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

Q: What is the equation of the parabola below? y (2.4) (3,1) -5

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Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: Consider the parabola - 2.x? + 20x – 4y – 62 = 0 O What is the vertex of this parabola? (r, y) What…

A: The given parabola is:…

Q: Which is the equation of the parabola with focus (0, 8) and directrix y = – 8?

A: We will use the fundamental property of parabola.

Q: Find an equation for a parabola that has its vertex at the origin and satisfies the following…

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Q: Describe the part of a hyperbola given by the equation.

A: Given: y=94x2-16

Q: Use the equation x2 +18x – 2y -85 = 0 to determine the following for a parabola: a. equation in…

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Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

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Q: Find the standard equation of the hyperbola whose conjugate axis is on the directrix of the parabola…

A: Given: Conjugate axis of the hyperbola is on the directrix of the parabola The focus of the parabola…

Q: Q: Find the vertex, focus, and directrix of the parabola and sketch its graph, for the following…

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Q: How many derivations are required for the problem involving parabolas with axis parallel to the…

A: Since you have asked multiple questions, we will solve first one for you. If you want other question…

Q: 1. Write the equation into the standard form of the equation of the parabola: -15 + 12x – 6y + y² =…

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Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = +…

A: The equation of the family of parabolas with vertex and focus on y axis

Q: The equation of the parabola with center at the origin and the focus is at (0,1). A. y? = 4x B. y? =…

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