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

A: To find  an equation for the parabola that has its vertex at the origin and satisfies the given…

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

A: Given equation is  x=23y2-36

Q: find the equation of the parabola with the given  Focus (−2, 0), vertex (2, 0)

A: We have to consider the parabola with vertex V whose coordinates with respect to XOY system is 0,0…

Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

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

A:

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

Q: What is the standard form of the equation of the parabola with the focus (5, –1) and the directrix æ…

A: Any point at parabola is equidistant from its focus and directrix.

Q: Find the equation of the hyperbola with center (o, o), a vertex at (5, o) and an extremity at (o,…

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Q: 2. Find the equations of all horizontal parabolas whose focus is the center of the ellipse 9a? +17y²…

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Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…

A:

Q: Find an equation of the hyperbola that has foci at (0,-13) and (0,13), and asymptotes y=5/12x and…

A: The hyperbola that has foci at (0,-13) and (0,13), and asymptotes y=5/12x and y=-5/12x. To find…

Q: Find an equation for the hyperbola shown in the figure.

A: Given,

Q: Determine the equation of a parabola with focus at (0,5) and directrix y=5

A: Given, The parabola with focus at 0, 5  and directrix is y=5 We have to find the equation of the…

Q: 31. Find the coordinates of the focus of the parabola whose equation is x² – 18x + 24y + 273 = 0. С.…

A: Since you have asked multiple unrelated questions in a single request, we would be answering only…

Q: find the equation of the parabola with the given properties. Focus (0, 4), directrix y = −4

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: 3. Classify the graph of the equation as a circle, parabola, an ellipse, or a hyperbola. (a) 16x² -…

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Q: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

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Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix x…

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

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Q: Find the equation of the hyperbola with vertices at (- 2, 0) and (2, 0) and a focus at (4, 0)

A: Given the hyperbola with vertices at (- 2, 0) and (2, 0) and a focus at (4, 0)

Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 Vertex…

A: The equation of a parabola in vertex form: y=(x-h)2+k  Where the vertex is at (h,k) and the focus is…

Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing…

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Q: Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the…

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Q: Find the equation of the parabola whose focus is at (-1,-1) and directrix is the line 2x+3y-1=0

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Q: Write the standard equation of parabola with the focus at (-1, 2) and the vertex (1,2) Determine :…

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Q: Determine the standard form of an equation of the parabola with focus (1, 2) and directrix x = 7.

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Q: 2. Find the equation of the parabola described. a. Vertex at (4, –2); focus at (6,–2) b. Focus at…

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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: What is the equation of the standard hyperbola with vertices at (0, ±a) and foci at (0, ±c)? Choose…

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Q: What is the equation of the parabola with vertex at (0,0) and focus (0, –4) in standard form?…

A: see below the calculation

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

A:

Q: 24. Construct the equation of a parabola with focus at (-1,2) and a directrix x = -7.

A:

Q: Find an equation of the evolute of the hyperbola y=1/x.

A: Given: The equation of hyperbola,

Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…

A: The equation of parabola:

Q: What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x =…

A: Here we have to find the equation of the parabola, vertex, and equation of the axis of symmetry of…

Q: Find the equation of the parabola with focus (1, −4) and directrix y = 0.

A: Given the following to find the equation of parabola.

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: given,      parabola with the given characteristics and vertex at the origin. Focus: (0, 1/3)

Q: nd the equation of the parabola with vertex at (5,-2) and focus at (5,-4). (x – 5)² = 8(y + 2) (x +…

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Q: 2. Write the equation of the parabola x+ 6x+8y = 7 in standard form and identify the a) vertex, b)…

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Q: Sketch the parabola with vertex at the origin and determine the focus and directrix of each. 1.…

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

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

Q: Write the equation for a parabola with a focus at (-6,0) and a directix at x=-2

A:

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

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Q: Find an equation of the parabola with focus (15/2, 0) and directrix x= -13/2

A: The vertex will be the midpoint of (15/2, 0) and x= -13/2 So, vertex is:

Q: Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 4. x ^ 2 +…

A: We have to check

Q: Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0).

A:

Q: 4. What is the focus of the parabola whose equation is -(y- 3)2 = (x – 2)? O A. (2, 1) OB. (0, 3)…

A: