Use a graphing utility to graph the conic. x2 - 4xy + 2y2 = 18 10 10 8 -10 -8 -6 -4 -2 4 10 -10 -8 -6 -4 2 6 10 -2 -4 -6 -8 -10 -10 10 10 8. 8. y 4 y 2 -10 -8 -6 -4 -2 8. 10 -10 -8 10 -2 7. -4 -6 -6 -8 -10 Determine the angle 0° s e s 90° through which the axes are rotated. (Round your answer to two decimal places.)

Q: Identify and sketch the graph of the conic section.x2 − y2 + 2x − 3 = 0

A: We complete the square and write the equation in standard form So, this is an equation of a…

Q: 6. Write the equation of the following conic in standard form of the following conic eq1 10 11 12 13…

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Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the…

Q: Identify and sketch the graph of the conic section.x2 + y2 + 4x − 2y − 11 = 0

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Q: Classify each conic section. 23) 2y + x + 8y + 11 = 0 24) x + y + 4 = 0 25) -x + 6x + y – 6 =0 26)…

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Q: Identify and sketch the graph of the conic section.x2 + 4x + 6y − 2 = 0

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Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.x2 + 2xy + y2…

A: Compare the given equation with the standard form: Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 A = 1, B = 2, C…

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

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Q: What is the standard form of the conic defined by x + 2y² – 8y = 0?

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Q: -14-13-12-11 -10 -9 -6 -5 A R -2 4. 16 15 14 13 12 11 10 9 8 7 fo -1 5 3 2 1 -- 2 -3 d -5 -6 ---7 „A…

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Q: Find an equation for the conic whose graph is shown. y 15 10 X -15 -10 -5 5 10 15 - 10 - 15F

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Q: Identify and sketch the graph of the conic section.9x2 + 9y2 + 18x − 18y + 14 = 0

A: Given Data The equation is 9x²+9y²+18x-18y+14=0.   Arrange the equation 9x²+9y²+18x-18y+14=0 in the…

Q: Find an equation for the conic whose graph is shown. y 10 5 K11, 0) 10 15

A: Given,

Q: (b) The equation 7x2 - 3xy + 5y² + 4x - 16y- 121 = 0 represents a non-degenerate conic. (i)…

A: We have to find the type of conic of given equation

Q: Identify the graph of the given nondegenerate conic sections: y2 - 12x - 4y + 52 = 0

A: A nondegenerate conic section of the form         Ax2+Cy2+Dx+Ey+F=0 a)If A=C then circle b)If AC=0…

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy + 1 = 0

A:

Q: Write the general conic form equation for a parabola with vertex at (2, 2) and focus at (1/2, 2). y…

A: Given problem:- Write the general conic form equation for a parabola with vertex at (2, 2) and focus…

Q: Identify and sketch the graph of the conic section.9x2 − y2 + 54x + 10y + 55 = 0

A: On simplification, we get Now it is in the form of,

Q: The equation of a quadratic relation is y = ±(x – 3)² + 3. Every point on this conic is equidistant…

A: In this question, we need to find the focus and directrix of the parabola.

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.7x2 − 6√3xy +…

A: Given that, 7x2 − 6√3xy + 13y2 − 64 = 0 Compare the given equation with ax2 + bxy + cy2 + dx + ey +…

Q: 5. Write the equation of the following conic 12 11 10 4 3 2 -1 3 5 fo 11 12 -1 -2

A: The given conic is the ellipse with  1. Center (8,5)  2. Vertex1: (8,12) 3. Vertex2: (8,-2) 4.…

Q: Identify and sketch the graph of the conic section.4x2 + y2 + 32x + 4y + 63 = 0

A: Now it is in the form of

Q: Identify and sketch the graph of the conic section.x2 + 4y2 + 4x + 32y + 64 = 0

A: The given graph is,…

Q: Sketch the graph of the conic (x +1)? = 1 25 16 +

A: We have to sketch the graph of the conic equation x+1216+y225=1. We have to determine the type of…

Q: (b) If the conic is rotated counterclockwise about the origin through an angle 3n/4, write the…

A: If the conic is rotated counterclockwise about the origin through an angle 3π4 then write the…

Q: Identify the type of conic from the discriminant. y-2 = 0.0=45" ANSWER: Blank 1 Blank 1 Add your…

A: Check discriminant b^2-4ac is less than zero, greater than zero and is equal to zero.

Q: Identify and sketch the graph of the conic section.

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Q: Identify and sketch the graph of the conic section.4y2 − 2x2 − 4y − 8x − 15 = 0

A: On simplification, we get

Q: Identify and sketch the graph of the conic section.16x2 + 36y2 − 64x − 36y + 73 = 0

A: We first complete the square to get the standard form

Q: what is the standard form of this conic section? 9x^2-4y^2-36x+8y-4=0    a. (x-2)^2 /2- (y-1)^2/9 =1…

A: Given equation is 9x2-4y2-36x+8y-4=0. To find the standard form of the given conic section.…

Q: Identify and sketch the graph of the conic section.16x2 + 25y2 − 32x − 50y + 16 = 0

A: On simplification, we get Now it is in the form of Therefore it represents an ellipse.

Q: 1. Write the equation in standard form by completing the square, and identify the conic section it…

A: (a + b)2 = a2 + 2ab + b2 a. 4x2 - 8x - 3y2 + 12y + 4 = 0     (2x)2 - 2(2.2x) - (sqrt(3)y)2 +…

Q: Identify and sketch the graph of the conic section.x2 + 4y2 − 16 = 0

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Q: (x-3)² - 4)² 1) =D1 16 196 (x + 1)² (y- 8)². 3) 3D1 9. 81 (x- 2)² ? 5) 1 36 81 |3|

A: Solution

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the “degenerate”…

A:

Q: find the key values for a conic a. y^2 - 8x - 4y + 4 = 0   b. 6x^2 - 4y^2 -12x-8y-22=0   c. x^2…

A: a y2-8x-4y+4=0y2-4y+4-8x=0y-22=8xwhere y=y-2 , a=2which is the general form of a parabolavertex…

Q: 9x^2 − 4y^2 − 18x − 16y − 43 = 0.

A:

Q: Identify and sketch the conic: 4x2 - y2= 4 b. Identify and sketch the conic: 9x2 +25y2+18x-108y…

A: Consider the conic  a.    4x2 - y2= 4 b.    9x2 +25y2+18x-108y -116 = 0

Q: Identify and sketch the graph of the conic section.x2 − 6y = 0

A:

Q: Identify and sketch the graph of the conic section.4x2 + y2 − 8x + 3 = 0

A: The given equation is 4x2+y2-8x+3=0 It can be rewritten as 4x2-8x+4-4+y2+3=0

Q: Identify and sketch the graph of the conic section.4x2 − y2 + 8x − 6y + 4 = 0

A: Given: 4x2-y2+8x-6y+4=0 for drawing graph of given curve first we convert given expression in…

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.16x2 − 24xy +…

A: To Perform a rotation of axes to eliminate the xy-term, and to sketch the graph of the conic.…

Q: Identify and sketch the graph of the conic section.2x2 − y2 + 4x + 10y − 22 = 0

A: Given: 2x2-y2+4x+10y-22=0 for drawing graph of given expression first we convert in standard…

Q: Which of the following equations yields to a non - degenerate conic? A 3x2 + 3y² - 12x+ 12y-6=0 9x2…

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Q: Find an equation of the conic section that satisfies the given condition- Find an equation of the…

A: Explanation of the answer is as follows

Q: 3 -6 -4 -2 8 19 41 2 2 41 19 ① 2 4 6

A: We have to solve the conic