1. Convert the following general form to standard form of parabola. 4x²-24-40y-4-0 b. x²-2x-6y+25=0 c. y²-6x+2y-17-0

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: Complete the square to write each in vertex form. Then identify the vertex. 1. a. f(x) = x² - 8x +…

A: Please see the below picture for detailed solution.

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: Identify the quadratic surface of the equation 6x? + 3y? + 222 + 24x – 6y – 12z + 39 = 0 Choose an…

A: Given, 6x ^ 2 + 3y ^ 2 + 2z ^ 2 + 24x - 6y - 12z + 39 = 0

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: Write the standard equation of parabola in a General Form Show the solution. 1. x² = 2 ( y + 4 )

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: (금)-(부)' h k Write the equation of the hyperbola in standard form 1 2-

A: Find your answer below

Q: Determine the vertices of the hyperbola 9x2-16y2-18x-96y+9=0.

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Q: Which of the following equations represents the parabola

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Q: Show, by completing the square, that the parabolay = ax2 + bx +c can be obtained from y = ax 2 by a…

A: The given equation of parabola is y=ax2+bx+c. Rewrite the above equation as follows.…

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: 2. a. f(x) = 5x² + 40x + 77 b. y = 2r + 12x + 17 c. y = 2x – 8x + 1 d. y = 2x – 6x – 1 — 1

A: To write the vertex form of the given quadratic equations. Note that the vertex form of the…

Q: the coordinates of vertex, focus, and ends of latus rectum of the parabola  Y2−8Y+6X+16=0

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Q: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

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

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Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: Determine if 36x + 25y = 900x is a hyperbola and if it is, which type it is.

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Q: Find the standard form of the parabola that opens to the right ,has a vertex of (6,2).

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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: Find the standard form of a parabola with the following properties: Center at the origin…

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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: 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.