The graph of the equation x2 = 4py is a parabola with focus %3D F( -) and directrix y = So the graph of x² = 12y is a parabola with focus F(_, _) and directrix y = -

Q: 1 Find an equation of the hyperbola having foci at (3, –3 – /45) and (3, -3+/45) and asymptotes at y…

A: This question is related to conic section.

Q: 3x Find an equation for the hyperbola with foci (0,±5) and asymptotes y=±-

A: given, focus (0,±5) and asymptotes y=±34x we have to find an equation of a hyperbola firstly we draw…

Q: 11. Find an equation for a hyperbola with asymptotes y=±x and passes through (1, 2).

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Q: Give the equation of the parabola with focus F (0; 2)  and directrix y = -2 . Give an equation of…

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Q: Find a function whose graph is the lower half of the hyperboloid -x2 - y2 + z2 = 1.

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Q: Find an equation of the parabola whose graph is shown. y Directrix X = 4

A: Equation of directrix is  X=a

Q: Find an equation of the parabola whose graph is shown. shaded focus region has area 8

A: as we can see that the shaded portion is in the form of a rectangle.  the latus rectum passes…

Q: the line X-y+2 touches the Tarabola %3D x find the Focus of the Parabola

A: Focus of parabola is given as (y-k)2 = 4*a*(x-h) where,

Q: The parabola y=(x-)+1 has its fous at (2-3). 76 Determine and State of the the equation directiex.

A: Consider the equation of parabola: y=-116x-22+1To   solve,y-1=-116x-22x-22=-16y-1…

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

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Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

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Q: The orthogonal trajectory of y=cex is a parabola of the form y2=ax+b. Find the values of a and b so…

A: See the details solution in below

Q: Find the standard form equation for a hyperbola with vertices at (0,20) and (0,-20) and asymptote…

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Q: Find the standard form equation for a hyperbola with vertices at (6, 0) and (– 6, 0) and asymptote 1…

A: Find the equation of the hyperbola

Q: 1 Find an equation of the hyperbola having foci at (3, – 3-/45) and (3, -3+/45) and asymptotes at y…

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

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: 5) Find the equation of a parabola with focus F(7/2,3) and directrix line ==1/2. *

A: We shall use focus-directrix property to solve this problem. This property says, the distance…

Q: Find the equation of the parabola with focus at (5, 0) and directrix x = −5.

A: Focus lies on x-axis.

Q: Find an equation for the parabola with vertex V(0, 0) and Focus F(0, 2), and sketch its graph.

A: We have given vertex V0,0 and focus F0,2. Given the vertex of the parabola is V0,0 and focus is at…

Q: 17. Parabolas with axis parallel to the x-axis and with distance from vertex to focus fixed as a. Am…

A: This question is about family of parabolas.

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

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

Q: The point (1,2) lies on the parabola: y 3x2 -2x+2 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;) False statement (1,2) does…

Q: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…

A: We have to find the equation of parabola.

Q: 4.Find the equation of the ellipse with foci (0, = 8) and with endpoints (0,+ 10) 5. Is f(x) = x +1…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the standard equation of the hyperbola 1. Asymptotes y=4/3x + 1/3 and y=-4/3x +41/3, a vertex…

A: Solution of the problem as follows

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

A: The equation of directrix of the parabola is x+1=0. The length of the latus rectum is 3. The…

Q: Find an equation of the parabola that has focus F (-3,-3) and directrix y = 1

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

A: here we have to find the equation of hyperbola that has foci  at (-15,0) and (15,0) asymptotes…

Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

A: To find the general equation of the parabola with horizontal axis which crosses the x‐axis at x=2,…

Q: Find the equation for the parabola that has its vertex at the origin and has a focus at (18.1, 0).…

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Q: Find the standard form equation for a hyperbola with vertices at (0, 3) and (0, – 3) and asymptote y…

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Q: Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1…

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Q: Find an equation of the parabola in standard form with focus at (3,0) and directrix x=-3

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Q: Find an equation of the hyperbola that has foci at (-10,0) and (10,0) , and asymptotes y=3x and…

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Q: 8. Find the equation of the parabola with vertex at (0, 5) and passing through the point (4,3)…

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Q: Find the equation of hyperbola by the given vertices at (0,1) and (0, −1); asymptotes are the lines…

A: Given

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

A: equation of parabola  (x - h)2 = 4p (y - k) where (h,k)=(0,0) vertex ordinates directrix y=3 , y= k…

Q: Find the equation of a parabola that has a vertex of (2, -4) and contains the point (1, -7).…

A: Given  Vertex of parabola (2,-4)  And contains the points (1,-7)

Q: Find the standard form equation for a hyperbola with vertices at (0, 2) and (0, – 2) and 1 asymptote…

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Q: Vertices at (0,1) and (0, -1); asymptotes are the lines x = +3y

A: It is given that the vertices of the hyperbola are (0,1) and (0,-1) and the asymptotes are x=±3y.…

Q: 9. Find an equation of the parabola that satisfies the given condition: Vertex V(-1,0) and focus…

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Q: A parabola has a focus located at (5, -) and a directrix of y = What are the coordinates for the…

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Q: Find the standard form equation for a hyperbola with vertices at (8, 0) and ( – 8, 0) and asymptote…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the x-axis…

Q: Find an equation for the hyperbola with foci (0, ±10) and with asymptotes y: = +x.

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Q: Find the equation of a parabola whose focus is at(2,-3) and directrix's equation is x=5.

A: Distance between the point x1 , y1 and a lineax+by+C=0 is ax1+by1+Ca2+b2

Q: Find the standard form equation for a hyperbola with vertices at (12,0)(12,0) and (−12,0)(-12,0) and…

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Q: find the orthogonal trajectory of family of parabolas represented by the equation…

A: To find orthogonal trajectories of  y2=4ax.

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Finding the equation of parabola