- For the hyperbola - = 1, the value of a is the 4 value of b is ,and the transverse axis is the -аxis.

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

A: If the axis of parabola is y = 1, then the parabola is horizontal. As we know that the standard…

Q: Which of the following equations is the equation of tangent to the parabola y2 = 2x + 8 at point…

A: The given equation of parabola is: y2=2x+8

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

A: Given equation is  x=23y2-36

Q: The parabola y = x² – 1 is constructed, but the axes are gone, somehow! With the help of ruler and…

A: Let us consider the function y=f(x) The transformation will shift the graph as  If y=f(x)+c and…

Q: What is the standard equation of the hyperbola if the length of its conjugate axis is 10 v5 and one…

A: To find- What is the standard equation of the hyperbola if the length of its conjugate axis is 105…

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

A: equation of parabola:-

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±5), length of…

A: Given that hyperbola satisfies the following conditions: Foci=0,±5  and length of transverse axis is…

Q: Find the equation for the parabola that has its focus at the (−394,−4) and has directrix at x=−25/4

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Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: Given a parabola's focus at (6, −4) and directrix at y = −7, how would you write its equation?

A: Equation of parabola: x-h2=4py-k Where vertex is (h, k) Focus is (h, k+p) And directrix y = k - p

Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

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Q: 3. Write an equation for the parabola with vertex at (2, 3), opening upward, and with no vertical…

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

A: Given:Vertex=0,0Directrix y=-3Equation of parabola:x-h2=4py-k

Q: 2. Parabola with x+1= 0 as the directrix, y = 1 as the axis, and the length of the latus rectum is…

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

Q: 3- If the equation of the hyperbola is 4x? – 9y? = 36 Find the distance between the negative foci…

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

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: Given hyperbola   (y + 1)2   −   (x − 2)2   = 1       9                4         what will its…

A: Given: An equation of the hyperbola, y+129-x-224=1.

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

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Q: snip

A: Solution:Given       x24-y29=1To find a,b and Transverse axis.Formula:Standard form of…

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

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

A: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

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

A: We have Vertex=(0,0)Directrix x=-15

Q: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

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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: For Exercise, an equation of a hyperbola is given. Determine whether the transverse axis is…

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Q: 2. Write the general equation of the parabola with directrix at x FG,-1), and v (. -1). 2

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Q: Find the equation for the parabola that has its vertex at the origin and has directrix at x=−1/28..

A: The standard form of equation of parabola with horizontal axis is given by the formula, y2=4px…

Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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

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

Q: The parabola y = x² is shifted up by 4 unit %3D What is the equation of the new parabola?

A: Parabola:y=x2  shifted up by 4 units

Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

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

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Q: Why is distance between vertices for hyperbola equal to 2a?

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Q: What is the standard form of the equation of the parabola with the focus (-3, 6) and the directrix y…

A: GIVEN: focus (-3, 6) Directrix y = -2

Q: The parabola y=x^2y=x2y, equals, x, squared is shifted up by 777 units and to the left by 111 unit.…

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Q: given the directrix of y = 6 and focus of (0,40, which is the equation of the parabola?

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Q: For hyperbola represented by 16x? – 3y?- 32x + 12y- 44 0, which | of the following is false. O…

A: For the solution follow the next step.

Q: If a is greater than or equal to zero the equation of the parabola is of the form?

A: Parabola is a three dimensional curve, where any point is at fix distance from the point called…

Q: Find an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

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: A hyperbola has an equation of 2x² – 5y² = 10. If the equation of the hyperbola is equal to x – 5y =…

A: The given equation of the hyperbola is: 2x2-5y2=10 Differentiating both sides of the equation with…

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4

A: Given: Equation of directrix:y=3……1Equation of axis:x=0……2Length of latus rectum:4……3

Q: b) For the hyperbola 2y? - 9x? = 18 , find the vertices, foci, lengths of transverse and conjugate…

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Q: What will be the equation of hyperbola that satisfies the given condition foci at (+ 24,0) and the…

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Q: Find the equation of the Hyperbola whose Foci are at (2,1) and ( 10,1),and the length of its…

A: Given: Foci ≡ 2,1 and 10,1, Length of the Transverse axis = 4

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…