Write the standard form of the equation of the hyperbola subject to the given conditions. Corners of the reference rectangle: (2, 10), (2, 0), (-10, 10), (-10, 0); Horizontal transverse axis O(x-4)² (+ 5)² 36 25 O(+4)² (x-5)² 36 25 O(-5)² (x+4)² 25 36 ○ (x+4)² (-5)² 36 25 -1 -1

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

A: Given equation is  x=23y2-36

Q: Find the equation of the hyperbola with vertices (-2,5) and (-2, 1) and foci (-2, 12) and (-2,-6).…

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Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

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Q: Which of the following equations represents the parabola

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Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: Identify the coordinates of the vertices and foei for each hyperbola. 25 o V:(-2 + 3,0); F: (-2+4,0)…

A: we have given a hyperbola.  We have to find it's vertices and foci

Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: Find the standard form of the equation of the parabola with the given characteristics, Axis is…

A: To find the standard equation of parabola  Given Axis is parallel to y-axis Parabola passes through…

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: Write the equation of the hyperbola 9z²- form Where: h = 4 k= 1 a-9 b= -72 (z-h)² a² S q X X X…

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Q: Write the equation of the hyperbola in standard form. (-1,7) (-1.5)

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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: Graph the hyperbola given by ײ - y² - 72x – 4y +131 - 0.

A: We will graph the hyperbola as shown below

Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: 7. Write an equation for each parabola a) 0, 11) 8- 4- (4, –5) b) | YA |(-6, 4) 4- (-5.3) 2 -6 -2 0…

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Q: Find the equation of the parabola with the following data. F (-3, -2), V (-3, -5)

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Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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