Write the equation of the conic section shown below. -10 -9 -8 15 -4 -3 -2 -4 10 -8 -10 9 8 7 6 5 1 1 $ 3 4 5 6 7 8 4 9 10

Q: What is the center of the ellipse? (r-2) 49 6+1) = 1 25 o (-2,-1) o (-2, 1) o (2,-1) o (2, 1)

A: As we know that the standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where: center is at h,ka,b…

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

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A: Given: Ax2+Cy2+Dx+Ey+F=0, A≠0, C≠0     ……1 where A and C are of opposite signs.   (a) To prove:…

Q: 10 -9 -8 -7 -6 -5 -4 10+ H Cu Ha STI -10 1 2 3 4 5 6 yak x Write the standard equation for the…

A: The standard equation of hyperbola with transverse axis parallel to x axis is

Q: a. Find the equation of the conic passing through the points (0, 0), (0, 2), (−1, 0), (−2, 1) and…

A: As per the question we are giving the following five points on the xy-plane : (0, 0), (0, 2), (−1,…

Q: Write the standard equation for the hyperbola graphed above.

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Q: 2 2 h k Write the equation of the hyperbola in standard form 1 - a 6 5 3 -1 -2 -3 -5 -9 -10 -11 -12…

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Q: -10-9-8 10- 9+ 8 7+ 6+ 5+ (0,√15) 3+ 2+ 1+ -9+ -10- 3 4 0,-√15) 5 6 +x 8 9 10 Given the ellipse…

A: Given: Ellipse We are required to find: The co ordinates of the vertices.

Q: a. Find the equation of the conic passing through the points (0, 0), (0, 2), (−1, 0), (−2, 1) and…

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Q: Write an equation of the parabola in vertex form. (8,3) 8 (4,-1) 4 An equation of the parabola is y…

A: Equation of parabola which open upwards or downward in the vertex form is y=a(x-h)2+k  here (h,k) is…

Q: Find an equation of the conic described.Graph the equation.

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Q: What is the center of the following hyperbola? (x-3)² (x + 2)² 4 A B с D (3,-2) = 1 (-3,2) (7,2)…

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Q: 5 (0, 4) 3 2 (-2,0) (0,0) (2,0) -9 -8 –7 -6 –5 -4 –3 1 4 5 7 8 9 –2 - -3 - (0, –4) -5 –6 –7- -8 –9 -…

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Q: 2 (-V34, 0) (-3, 0) (3, 0) (V34, 0) -6 -4 -2 2 4 -2 -4

A: Given: The graph of hyperbola is: The center of the given hyperbola is 0, 0. The vertices and focii…