y = -Vx² – 16 .2 4

Q: Write the equation of the hyperbola 36x? – 25y? + 288x – 150y – 549 = 0 in standard form (x – h)?…

A:

Q: What is the nearest distance from the point P(6,0) to the parabola? y^2=8x

A: GivenP(6.0)y2=8x To find nearest distance

Q: Identify the equation as a circle, a parabola, an ellipse, or a hyperbola. 16x2+9y2-98x + Sy+224 = 0…

A: Given

Q: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

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Q: 21. Which equation represents a parabola with a vertex (-3,2) and focus (-3,5)? O y = -32? – 2x + 5…

A: Parabola question

Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

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Q: Write the equation of the hyperbola centered at ( – 9, – 10). The length of the vertical transverse…

A: Explained below...

Q: Find the coordinates of the vertex of the following parabola usin technology. Write your answer as…

A: given parabola is                                                  y=4x2-48x+128 we have to find…

Q: Determine whether this is a parabola: y = 5a + 80x + 321 . O Parabola Not a parabola If it is a…

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

A: (-a, 0) = (-2, 0) and  (a, 0) = (2, 0)   a = 2

Q: Determine whether the given equation is a parabola: y 2x2. O Parabola O Not a parabola If it is a…

A: this equation satisfy parabola standard equation hence it is , parabola y=2x^2

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: Use the information provided to write the standard form equation of the hyperbola. a2 - y? + 14x 6y…

A: Given equation: x2-y2+14x-6y-24=0 Standard equation of hyperbola is  x+a2h2-y+b2k2=1

Q: Write an equation of the parabola with a vertex at the origin and the given focus. G. (0, 3) (0) Н.…

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Q: Find the standard form of the equation of the parabola with the given characteristics. focus: (2, 2)…

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Q: Write the equation of the hyperbola 36 x- 288 · x 25 y + 300 y- 1224 = 0 in standard form Y - k 土 =…

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Q: Find the equation y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

A:

Q: Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 25x2 – 10x –…

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Q: Nrite an equation for the parabola shown to the right. (2, 0) (3, - 1) 8.

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Q: E. Explain what a second-degree equation in tow variables, x and y, is, and how you can ell whether…

A: Please look into the next step for details

Q: Write the equation of the hyperbola in the form -Ar (y-k)? = 1 or - a? (y-k) (x-h)² = 1. a2 2y2 - x2…

A: See in the next step

Q: What is the center of the hyperbola? (y+3)? 9. (x-2)2 =D1 2 Enter your answer by filling in the…

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

A:

Q: Write an equation of a parabola with a vertex at the origin and a focus at (4, 0)

A:

Q: Write the equation of the hyperbola centered at (-1,9). The length of the vertical transverse axis…

A: Given;  Transverse axis = 11 Conjugate axis =8 Center = (-1,9).

Q: Find the equation of the evolute of the parabola y? = 12x.

A:

Q: Write the equation of the hyperbola – 4. x2 + 9. y = 36 in standard form + 土 = 1 > Next Question

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

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Q: Write the standard form of the equation of the hyperbola given below by completing the square. x² -…

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Q: . Identify the type of equation: 5x? + 5y - 10x + 15y = 10 %3D O circle O parabola hyperbola ellipse

A: The objective of the question identify the type of equation.

Q: Write the standard equation for the hyperbola graphed above.

A: The standard form of hyperbola about the origin is where

Q: Write the equation of a parabola whose directrix is æ = 4.5 and has a focus at (13.5, 4). Preview

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

A:

Q: Determine whether the given equation is a parabola: y = 8a2. Parabola O Not a parabola If it is a…

A: Given equation is y=8x2. We know that general equation of parabola is y=ax2+bx+c. Given equation can…

Q: Determine whether this is a parabola: (x + 2) = – 6(y + 9)² Parabola O Not a parabola If it is a…

A:

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: Determine whether the given equation is a parabola: a = 8y?. O Parabola O Not a parabola If it is a…

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Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

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

A: Given: y=94x2-16

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: Find the vertex, focus, and directrix of the parabola. y? – 4y – 2x - 4 = 0

A: The given parabola is  y2 - 4y - 2x - 4 = 0

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

Q: Find the coordinates of the vertex for the parabola. Round your answer to 2 decimal places. Include…

A: Given query is to find the vertex for the parabolo.

Q: Write an equation of a parabola with vertex at the origin and the given focus. focus (3,0) What is…

A: Solution:-

Q: 2 Determine whether this is a parabola: y = 2x + 8x + 5. Parabola Not a parabola If it is a…

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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