14. Find all values of m # -7,0 so that the graph of 2ma? – 16mx + my? + 7y? = 2m² – 18m is - - (a) a circle. (d) a hyperbola. (b) a horizontal ellipse. (e) the empty set. (c) a vertical ellipse.

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

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Q: asymptote of the hyperbola 9x2-25y2+50y-250=0 and

A: In this question we will use basic of geometry i.e concept of hyperbola. We will simply make…

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: 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: 1. What are the asymptotes of the hyperbola given by the equation 1296y – a2 = 81? O y = + x O y = +…

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Q: 8) Find the equation of the parabola in vertex form. (A) y=3(x-2)2+2 (B) y-3(x-2)2-2 (C) y-3(x+2)2+2…

A: Topic - equation of a parabola A parabola is a conic section made by the intersection of a right…

Q: Which of the following equations represents the parabola with vertex at (3, 2) and directrix y = 4?…

A: To find out the equation of the parabola.

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Q: Given the graph of a hyperbola and its asymptotes , Find the equation of this hyperbola -8 -7 -6 -5…

A: The standard form of the equation of a hyperbola with center at and transverse axis on the y-axis…

Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

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Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 3. Write an equation for the parabola with vertex at (2, 3), opening upward, and with no vertical…

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Q: 2=2X Find the point that is close' to the pont'(,4) on the parabola y

A: Explained below

Q: 16. Which equation represents a parabola with vertex (4, 4) and directrix y = 2? O y = 2a2 - 4x + 4…

A: We need to find the equation of parabola whose vertex is (4,4) and directrix is y = 2

Q: 3. Classify the graph of the equation as a circle, parabola, an ellipse, or a hyperbola. (a) 16x² -…

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Q: 1. Find the general equation of the parabola with vertex at (-2,3) and focus at (-2,–2). 2. Graph…

A: 1. The given vertex at -2,3 and focus at -2,-2. Find the general equation of the parabola. 2. The…

Q: 15 Name: ID: B 5. Find the vertices and foci of the ellipse, and sketch the graph. 9x? + 16y? = 144…

A: Given an equation of ellipse.

Q: What is the axis of symmetry of the parabola y=1/4x^2−14x+28?   A. y=28 B. x=7 C. x= -14 D. x=28

A: Given y=14x2-14x+28

Q: Find the points on the ellipse  X^2 + 6y^2 + 3xy =40 With the greatest x coordinator

A: Let us assume thatfx,y=xandgx,y=x2+6y2+3xy-40The lagrange multiplier equations…

Q: 4. Determine the equation of the following. a) The parabola with vertex (-6, -2) and passes through…

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Q: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

Q: 17. The equation of the parabola is x² + 14x + 16y + 1 = 0. Solve the following. pranaara Tomuror…

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Q: 'ind a path in R² whose image set is: (a) The circle with radius 4 and center at (-1, 3). (b) The…

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Q: What is the equation in standard form of an ellipse whose center is at C(-3, 1), a vertex at V(-5,…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the ellipse is given…

Q: 30. Find the vertex of the parabola y = 4x² – 4x + 3 a. 0.5,2 b. 0.5,-2 C. -0.5, 2 d. -0.5, -2

A: I have draw the graph of parabola and find that Vertex=(0.5, 2)  Hence option (a) is correct

Q: 5. Identify the graph of 4x + 16y – 16x + 32 = 0 as a parabola, ellipse or hyperbola.

A: Given: 4x2 + 16y − 16x + 32 = 0

Q: 4. Classify the following as an ellipse, hyperbola, or parabola and sketch a graph like we have done…

A: Consider the equation, 9x2+4y2-36x-24y+36=0

Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: Find the point on the ellipse x2 + 6y² + 3xy = 40 with the largest x-coordinate (Figure ). -8 FIGURE…

A: Given: x2+6y2+3xy=40

Q: 22. Which of the following is the equation for a parabola with a vertex of (3, 1) and a focus of (3,…

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Q: Can you assist me in answering this? (Not graded - solely for acquisitional purposes)

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Q: 13. Find the point on the parabola y* = 2x that is nearest the point (1, 4). %3D

A: As per our guidelines we can solve only one question or three sub-parts. To ask more please…

Q: 2. Write the equation of the parabola x+ 6x+8y = 7 in standard form and identify the a) vertex, b)…

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Q: 4. Find the equation of a parabola with axis parallel to the y-axis and passing through ( ). G. 3…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: How do I solve this optimization problem?

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Q: 4) Find the vertex of the parabola y=-3 x-2 x +7 and sketch its graph.

A: Given y =-3x2 -2x+7    We have to find the vertex of parabola and sketch its graph

Q: 3. Find an equation of a parabola with a vertex at the origin and directrix y=-3.5 Oy=--x 14 Oy= ?…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What are the asymptotes of the hyperbola 9æ? – 4y? – 18æ + 24y + 9 = 0 O (y – 3) = +(x – 1) ㅇ (y-3)…

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Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: (a) Find and identify the traces of the quadratic surface x2 +y2 -z2 =1 and explain why the graph…

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Q: 1. Which of the following best describes the graph of y = x? – 4x + 2? a parabola with a vertex at…

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Q: 5. What is the general form of an ellipse with foci at (0, +2), and vertices at (0, ±4)? 2x + 4y = 0…

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

Q: 1. Which of the following is the equation for a parabola with a vertex of (3, 1) and a focus of (3,…

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Q: 3 Show thet the ellipse x +3y -) interseet of right ongle T= R_x yjogady puo

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Q: 10. Draw the parabola with the following conditions a) A zero at (1, 0) the vertex at (3, -4) and y…

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Q: Give equations for the following curves: • Parabola with vertex at the origin - 1 • Parabola with…

A: I have Provided this answer in step-2.