Identify the following conic sections as either an Ellipse, a Parabola, or a Hyperbola: a. y² + 6y + 8x + 25 = 0 Select an answer b. x² +9y² + 2x + 54y + 62 = 0 [Select an answer c. x² - 2x + 8y + 9 = 0 Select an answer

Q: Put the equation of the ellipse in standard form by completing the squqte. 5x2 + 3y2 + 10x + 24y –…

A: This question can be solved using the concept of standard equation of ellipse.

Q: Find a formula, f, for the graphs shown. 10 3D -5- %3D 3D %3D 3D 10 5 i 20 x = 8 x= 16

A: In the question we have to find formula of the graph.

Q: Write the coordinates for the center of the hyperbola: A/ (x-2) (y + 1)² 64 36

A: given  (x-2)236-(y+1)264=1standard form of hyperbola is  (x-h)2a2-(y-k)2b2=1hwer centre is  (h,k)

Q: Determine the coordinates of the foci of the hyperbola 9x² - 4y² - 90x + 189 = 0

A: The given equation of hyperbola          9 x^2 - 4 y^2 - 90 x + 189 = 0 ...............( 1)  First…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices:…

A: Here the vertices of the ellipse is with a constant x-coordinate. Therefore the given ellipse is…

Q: 4. Identify each of the following as an ellipse, circle, or hyperbola. Show how you determined it.…

A: (a)

Q: Draw the hyperbola with the equation: 3x2− 2y2+ 6x − 8y = 6.

A: the hyperbola

Q: Write the equation in standard form 4y2-9x2-18x-8y-41=0

A: 4y2-9x2-18x-8y-41=04y2-8y-9x2-18x-41=04y2-2y-9x2-2x=41y-129-x--124=1y-1232-x+1222=1 The equation…

Q: the coordinates of vertex, focus, and ends of latus rectum of the parabola  Y2−8Y+6X+16=0

A:

Q: Identify the conic section given the general form of its equation: 26x2-5y2-61x +361y-1072=0 a.…

A: 26x2-5y2-61x+361y-1072 = 0 is the given equation.

Q: Find the coordinates of vertices, foci, eccentricity, latus- rectum and the equations of directrices…

A: We have a equation of hyperbola                         So we have to find the vertices , foci ,…

Q: Problem 2: You are not told what f(t) is, but you are told that f(57) = (0,4,3 7) = (2,9, 1).…

A:

Q: Determine the equation of the hyperbola with center (−1, −6), a focus at (−1, −16), and a co-vertex…

A:

Q: Express the equation of an ellipse 16x+9y-64x-54y+13D0 in standard form. Hence, find the centre,…

A: General equation of eclipse is x-h2b2+y-k2a2=1 centre of eclipse = ( h , k ) Vertices = (h,k+a) ,…

Q: Identify this conic, list the necessary parts and then graph it: 2x2 +2y2 +8x=7

A: Given the equation of conic