Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4
Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.
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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: 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: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4. (two answers…
A: The standard equation of the parabola is (y-k)=4a(x-h)2, where h and k are the coordinates of the…
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 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: Find the equation of the parabola with directrix x+1=0 , axis y=1 and the length of the latus rectum…
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Q: What are the coordinates of the end points of the latus rectum of the parabola with equation a - 2z…
A: What are the coordinates of the end points of the latus rectum of the parabola with equation…
Q: Find the equation for the parabola that has its vertex at the 1 origin and has directrix at y 41…
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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…
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Q: Find the standard equation of the hyperbola. Two corners of auxiliary rectangle at (−4 ,−7) and (0…
A: Given: The two corners of the auxiliary rectangle of a hyperbola are at -4,-7 and 0,0 and transverse…
Q: Find the equation of the parabola whose vertex lies at (0,-2) and directrix at x=2
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Q: A parabola has an equation of y² = 4x. Find the nearest distance from the point (-3, 6) to the %3D…
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Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…
A: Given- Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…
Q: Write an equation for the hyperbola which has foci at (0, v5) and (0,-V5 and asymptotes at y = ±3x.
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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 find the equation of parabola.
Q: Find the standard equation of the parabola whose vertex is (6,6)and whose directrix is y=−3.…
A: Here I have appended the formula used in the solution part.
Q: Find the equation of the hyperbola with center at (4,-1), transverse axis parallel to the y axis,…
A: The standard form of the equation of a hyperbola with center h,k and transverse axis parallel to the…
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: Find the equation of the hyperbola whose center is at point (4,−1), transverse axis parallel to…
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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 equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4. (two…
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Q: Find an equation for parabola with vertex (−1,3) and directrix x=−4.
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Q: Find an equation of the parabola in standard form with focus at (0,-4) and directrix y=4
A: The objective of the question is determine the equation of the parabola with given focus and…
Q: Explain how to use y2 = 8x to find the parabola’s focus and directrix.
A: Given: y2=8x To find: The parabola’s focus and directrix
Q: Explain how to use y2 = 8x to find the parabola’s focus and directrix.
A: Explain how to use y2 = 8x to find the parabola’s focus and directrix. Solution:- The equation of…
Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…
A: Given: Focus on the negative y-axis, 6 units away from the directrix
Q: What is the general equation of a parabola that opens upward with V(-1,2)?
A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…
Q: Find equations for the osculating circles of the parabola y=0.5x2 at the points (0,0) and (-1,1/2).
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Q: Determine the equation of the parabola using the given information. Focus (0, −3) and directix y =…
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Q: Which is the equation of a hyperbola with co-vertices at (0, 7) and (0, −7) and a transverse axis…
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Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…
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Q: 3. What is the equation of the directrix of the parabola x² = 4y – 2?
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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: find the equation of hyperbola with center (4,-1), transverse axis parallel to the y axis distance…
A: Given: A hyperbola with center 4, -1 , whose transverse axis is parallel to the y-axis. The…
Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…
A: equation of parabola:-
Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…
A: Given parabola y=x2-10x+16 ....(1)
Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…
A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…
Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…
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Q: Find the equation of the parabola with directrix x+1=0 , axis y=1 and the length of the latus rectum…
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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: 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: Find an equation for the parabola that has its vertex at the origin and satisfies the given…
A: Fimd the equation of parabola
Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…
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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…
A: Given Focus : (-5,0), Directrix: x =5 of a parabola To find the standard form of the equation of…
Q: Determine the equation of parabola that opens upward with bertex (-12,-6) with directrix y=-17.…
A: We have to find the equation of parabola whose vertex is -12, -6 and directrix is y=-17 . Clearly,…
Q: What is a parabola? Describe its shape
A: To Determine: what is a parabola? describe its shape. Given: we have parabola Explanation: a…
Q: What is a parabola? Describe its shape.
A: We have to define parabola and describe it shape.
Q: Find an equation for the hyperbola with foci (0, ±10) and with asymptotes y = 1
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Q: ises 17–30, find the equations of the parabola
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