8. Find an equation of the ellipse shown below centered at the origin. (-4,0) 5- 4 3 2+ 21 (0, 0) -4-3-2-10 1 2 3 -1- -2- (0, 3) --4- -5- (0,-3) (4,0) 5

Q: 6. What is the equation of the ellipse whose graph is shown below? (1,4) (7. 0) C(1,0) (4, -54 3 A)…

A: Graph of the ellipse is given, we have to find its equation

Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

A:

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: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: 13. Write the equation in standard form for an ellipse. Graph the ellipse. 4x2 - 16x + 9y2 + 54y +…

A:

Q: Find the equation of the ellipse with foci and 0, and vertices (0, - 2) and (0,2). O x? y2 1 4 %3! O…

A:

Q: Find the equation for the hyperbola whose graph is shown. -2 y 15 10 -10 -15 y=4x 2 y=-4x

A: Consider the graph

Q: 4. Which of the equations below represents this ellipse? 10 5 -5 5 -5- --10

A: Here the Major axis is on the Y axis. And the Minor axis is on x axis. The last option is true.

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: Find the equation of the ellipse shown in the graph. y 8- |(0, 6) 4 2 (-2, 0) (2, 0) -8 -6 -4 -2 2 4…

A:

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: 7. Write the equation of the ellipse in standard form. 8x +32x + 4y – 8y = -4 (+2)2 4 (y+1)? =1 8 O…

A:

Q: 4, (x – 1) _(y+6)2 = 1. 5. Consider the ellipse whose equation is --- ---- 25 a. Identify the…

A:

Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…

A:

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 -…

A:

Q: 15. What is the equation of the given ellipse? (-3,2) O (x+3)² 4 O (x+3)² 7(y +1.5)² 2 2 + (-1,-1.5)…

A: The given ellipse

Q: Find the equation of the ellipse with vertices at (−10, −4) and (6, −4), and covertices at (−2, −9)…

A:

Q: A hryperbola is defined by the equation x? - y? - 2x - 4y - 4 - 0. Its center is at the point (-1,…

A:

Q: Find an equation of the hyperbola shown below centered at the origin. 3 (-15.0) (-12, 0) (0.9)…

A: We have to find equation of hyperbola using given data. Concept required: Equation of hyperbola…