6. What is the equation of the ellipse whose graph is shown below? (1,4) (7. 0) C(1,0) (4, -54 3 A) 16(x– 1)² + 9y² = 1 B) 9(x – 1)² + 16y² = 1 C) 16(x- 1)² +9y² = 36 D) 9(x – 1)² + 16y² = 36

Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

A:

Q: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: 14. Consider the equation: y -8x+2x² –6y+13=0 (a) Show work to determine whether this equation…

A: Given : y2-8x+2x2-6y+13=0

Q: 20. Find the foci of the ellipse with the following equation: 169 + = 1 25 O F(-5, 0), F2(5, 0) O…

A:

Q: Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

A: We have to find the focus of the given parabola. The solution is following.

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

A:

Q: 6. Find the equations of the asymptotes for the conic 25x²-150x-16y²-64y-239=0

A:

Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

A:

Q: Convert the following equation of a parabola into standard form. Select the correct answer below: O…

A:

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: The conic section with equation 2 9 + y² = 1 is: 16

A:

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

A:

Q: 14. Find the value of x. [A] 125° [B] 147° [C] 92° [D] 33° 880 125°

A:

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: The center of the ellipse with the given equation 4(x – 5)² + 3(y – 4)2 = 48 is %3D (-5, 4) (4, 5) O…

A: Solving the problem by finding the centre in standard form.

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: f the equation (5x - 1)² + (5y - 2)² = (y²-2y+1) (3x + 4y - 1)² represents an ellipse then find…

A: Introduction: An ellipse is the locus of all those points in a plane such that the sum of their…

Q: Name the conic section. Do not graph

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

Q: Is the student's analysis correct? Why or why not? Select all correct statements. The analysis is…

A: This is in fact a hyperboloid of two sheets.The standard equation of which is given by .Now the…

Q: The vertices of the ellipse given by = 1 are (2, 1) and (1, 2) (0, 1) and (0, – 1) - O A. В. (-2, 0)…

A: Given:- x2/4+y2/1 = 1 To find:- Vertices of given equation of ellipse

Q: 2) Graph the ellipse (x−1)² _(y+5)² 4 9

A: Solution: here we are using the graphing tool to plot an ellipse.

Q: Convert the following equation of a parabola into standard form. Select the correct answer below: O…

A: We are required to: Change the equation of parabola -2x+y2-2y-1=0 into standard form.

Q: Find the center of the ellipse 16x² +9y² - 64x - 54y + 1 = 0 (a)_(-2, 3) (b) (-2, -3) (c)_(2, -3)…

A:

Q: 11x2-7y2-66x-28y-6=0 standard form of hyperbola

A: Given    standard form of Hyperbola