Find the equations of the asymptotes of the hyperbola described by the equation: (x+3)²_(v-2)² =1 16 9 O y = ± √²x Oy=+3(x+3) +2 O y = ±²(x+3)+2 Oy= ±3(x+2) + 3

Q: The focus of the parabola y^2 = 4x is at

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Q: Find the length of the chord of the ellipse \frac{x\power{2}|25}+\frac{y\power{2}|16}=1  whose…

A: We given that a ellipse  x225+y216=1 with midpoint (1/2 , 2/5 ).   Claim : we have to find the…

Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: Determine the equations of the asymptotes for the hyperbola: +5²_ (x + 2)² =1 9 =-=-*- , y = x = -2;…

A: The given equation of hyperbola is; (y + 5)2/4 - (x+ 2)2/9 = 1Find the asymptotes.

Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

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Q: The hyperbola with the given equation is centered at? * 16y² -9x² +36x + 96y - 36 = 0

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Q: =D1 4 = 1{-5<x<5}

A: Given equation is The equation of given hyperbola is horizontal hyperbola

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: For the hyperbola given by (9x^2)- (4y^2) -36x -24y - 36 = 0, find the distance between its…

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Q: Standardize the conic with the equation 7x2+4xy+4y2--2x-6y+1=0

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Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Use the Hyperbola Graphing Procedure 4y2-x2=16

A: Given that 4y2-x2=16 Here we need to graph the Hyperbola For that,

Q: Find the foci of the following hyperbola: (0+1)² (x-1)² = 1 O (-1+√34,-1); (-1- √34,-1) O (1,4); (1,…

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Q: Find the equation of the parabola y = ao + a₁ + a2x² that passes through the points (-1 -9), (0,…

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Q: Find L[e-6t + 7] 7 O +? 1 s2+6 S 1 7. s+6 1 7 s-6 1 +7 s-6 +

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Q: (v+5) (x+1) = 1 36 Center: 4,

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