(1,6).c (-2,6). (10,6) The center of an ellipse is One focus of the ellipse is One vertex of the ellipse is What is the equation of the ellipse in standard form? Drag an expression into the boxes to correctly complete the equation. (x-1) 72 (-1)2 90 (x-1)² 81 (y-6)2 81 (y-6)² 90 (y-6) 72

Q: Q#03: a. Write an equation of an ellipse whose major axis is vertical, with the center located at…

A: The equation of an ellipse centered at (h, k) is (x−h)2a2+(y−k)2b2=1. From given information center…

Q: Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4,…

A:

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: 6. 4 -9 -8 -7 - -5 -4 -3 -2 -1 I k 3 4 5 6 7 8 9 -2- -3- -7 -8 Write an equation for the ellipse…

A: Given query is to find the equation of ellipse.

Q: dentify the equation of the ellipse that has the coordinates of its center C (5, 1), the coordinates…

A: Given that: Centre of ellipse=(5, 1)Coordinates of vertex=(5, 4)Coordinates of minor axis =(3,1)

Q: O Does the origin lie inside or outside the ellipse with equation (x – 4) 2 + 4(y - 3) 2 = 4?

A:

Q: 2- 1l71 2 3 4 5 6 7 ++ 89 -1 -2 -3 -4 -5 -7 -8 What is the equation in general form of the ellipse…

A:

Q: O 1. Write the equation of the ellipse with endpoints of the major axis (-11, 0) and (11, 0) and…

A: The general equation of ellipse  is          X2 / a2 + Y2 / b2 = 1

Q: (2+1)- (y-2)" Find the foci of the ellipse. 1 %3D 25

A:

Q: 6+y 5 4 -1 -1 -3 3 -2 -3 -4 -5 -6- -8+ of Give the equation for the ellipse graphed above. 3.

A: The standard form of equation of the ellipse is , x-h2a2+y-k2b2=1 .......1 where , h,k=center of…

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: 3+y -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 -2 -3 -5 Give the equation for the ellipse graphed abov

A:

Q: -6 -2 4 Identify a, b, h, and k for the ellipse graphed above and with an equation of the form: (x –…

A: From the given graph the centre of the ellipse is at (-1,3) thus the h value is -1 and k value is 3.…

Q: e BOTH the standard and general form of the equation of the specified ellipse. Vertices at (8, -1)…

A: Definition used -                  The standard form of the equation of ellipse -…

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 vertical ellipse that is centered at ( 16, 24), passes through the point (…

A:

Q: An ellipse has its center, C(5,3) and a focus at (7,3) and a vertex, V(10,3), find its equation.

A:

Q: Determine if 9x + 25y² = 225 is an ellipse. %3D O Not an Ellipse Ellipse, we can write the equation…

A: Given  equation,        9x2+25y2=225

Q: 6. Find the center of the ellipse with equation 2x² + 3y² + 8x + 6y - 1 = 0 b. (2, -1) а. (2, 1) с.…

A: We will solve the problem.

Q: 2. A triangle is inscribed in an ellipse whose equation is 9x? + 16y? - 216x- 320y+ 2320 = 0. One…

A:

Q: Which of the following is the equation of a vertical ellipse with center (4,6) Major axis 18 and…

A:

Q: y 구 -9 -8 -7 -6 -5 4 -3 -2 - 6 7 8 9 Write an equation for the ellipse graphed in standard form. 2.…

A: We have to write the standard form an ellipse  By figure

Q: The covertices of an ellipse are (5, 6) and (5, 8). For any point on the ellipse the sum of its…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. 8- 4. -2 4. 2. -2 -4 4. 6. 8. 21 25x+9y%3D225 Graph the ellipse.

A: Given query is to find graph the ellipse.

Q: Find the standard form of the equation of the ellipse. y 8. 4 3- 96 -5 -4 -3 -2 -1 -1 2 4 -2 -3 -4…

A:

Q: What is the standard form equation of the ellipse that has vertices (–14, 3) and (6, 3) and…

A:

Q: 10 y 8- 6 4- 2- 10 -8 -4 -2 6 -4- Identify a, b, h, and k for the ellipse graphed above and with an…

A: The graph of the ellipse  is given . We have to find a ,b ,h and k from the graph as following.

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

A:

Q: The center of a hyperbola is (-2,4), and one vertex is (-2, 7). The slope of one of the asymptotes…

A: Given that the center of a hyperbola is (-2,4) and one vertex is (-2,7) .  The slope of one of the…

Q: Find the standard equation of the ellipse with center (0, 4), a = 2c, and vertices (-4, 4) and (4,…

A: To find the standard equation of the ellipse with center 0, 4, a=2c, and vertices -4, 4 and 4, 4. To…

Q: W 2. What is the equation of an ellipse with its center at (-2, 1), a major axis 16 units long, and…

A:

Q: 1. What is the equation of this ellipse? 5 -5 --10 = 1 O (#+2)° + (+4)° = 1 81 O -2)° (y–4)° = 1 81…

A:

Q: Look for the the equation of the ellipse if the directrix is y + 22/3=0, the center at (4,1), and…

A: Given: Directrix: y=-223Center: 4,1=h,kFocus: 4,-2 The distance between center and focus gives the…

Q: 5) Find the equation of the ellipse described. a. Center at (0, 0); Focus at (-1,0); Vertex at (3,0)…

A: we have to find the equation of an ellipse  part A)  center at (0,0) , focus at (-1,0) and vertex at…

Q: If A(-2,4) is a vertex of the ellipse and B(4,2) is a covertex, then the center of the ellipse is O…

A: To solve the following problem

Q: 8+y 7- 3- 2- -3 -1 -2 -3- -4- -5 -7- -8- -10+ Give the equation for the ellipse graphed above. 6

A: Equation of ellipse is given as x2/a2 + y2/b2 = 1 Length of major axis = 2b = 18 b = 9 Length of…

Q: 7. Find the equation of an ellipse whose ends of major axis at (-9.4) and (3, 4) and passing through…

A:

Q: 40 -8 -6 -4 -2 -2 (x – h)? (y – k)² 1. | Identify a and b for the ellipse with equation + a2 b = k =…

A:

Q: What is the equation of the ellipse shown in the graph? y 67 4- 2- +►X -10 8 -6 -4 -2 0 -2- 8 10 2 4…

A:

Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: 4. Find the equation of the ellipse with vertices at (2, -1) and (2, 7) and with a minor axis of…

A: We have to find equation of ellipse with given vertices and minor axis.

Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A:

Q: 5. What is the standard-form equation of the ellipse shown? -2- x2 1 25 %3D 16 1 %3D x2 25 1 16 O x2…

A:

Q: Determine endpoints of the major and of the minor axes of the ellipse described by the equation…

A: standard form of an ellipse is, (x-h)2a2+y-k2b2=1 where (h, k) is the center of ellipse, end-points…

Q: 8. 6+ (0,2v6) 4+ 3+ 2+ 1 +++ -10-9 -8 -7 -6 1 2 4 6 7 8 9 10 -3+ -4T(0,-2v6) -6+ -9- -10 Which of…

A:

Q: 3. Determine whether an ellipse exists if it has an equation of 4x2 +9y2-24x + 36y - 36 = 0. %3D

A: Here we have to show the given expression is ellipse or not Where the expression is as…

Q: Let 36x? + 16y² – 144x - 128y – 176 = 0 - - (x – h)? (y – k)? = 1. - then write the ellipse in…

A: Change it to standard form and solve it.

Q: Find the equation of the ellipse shown. 8 7 6 5 4- (0,3) 2 (-4,0) (0,0) (4,0) -9 -8 -7 -6 -5 -3 -2…

A:

Q: 9x2 – 18x + 4y² + 8y defines an ellipse with center ( E ). The major axis has length and the minor…

A: To Determine: Center and major & minor axis of ellipse :…