In Exercise, use a translation of axes toput the conic in standard position. Identify the graph, give its equation in the translated coordinate system, and sketch the curve. 4x2 + 2y2 - 8x + I2y + 6 = 0

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: hyperbola, vertices (±3, 0), foci (±6, 0)

A: Equation of hyperbola :x2a2 - y2b2 =1 , when vertices is on the x-axis.

Q: etermine which conic is the one whose general equation has only one term raised to the square, that…

A: Given:

Q: Find an equation for the conic whose graph is shown. y (4, 3) 2. 2.

A: Since given shape is  ellipse . So will use standard equation of it .

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy = 3

A: We need to rotate the axes by θ = π / 4 Hence,  x' = x cos(θ) + y sin(θ) = (x + y)/√2 y' = - x…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Rearrange the terms to get the standard form

Q: identify the conic section. Find the vertices and foci.  x 2 − 2y 2 = 4

A: Make the equation in a standard form so as to be able to identify the type of conic section. use…

Q: Write the equation of the Conic, given its graph.

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Q: 2. Put the equation in standard form to determine the conic form, then sketch a graph indicating the…

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Q: Rotate the coordinate axes to remove the xy-term. Then name the conic section and sketch its graph.…

A: Given: x2+4xy-2y2-6=0 To Find: Rotate the coordinate axes to remove the xy-term.Then name the conic…

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: The given equation is . The Principal Axes Theorem states that , for a conic whose equation is ,…

Q: Write the general conic

A: The standard equation of horizontal ellipse centered at h, k with semi major axis length a and semi…

Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

A: We find the slope of tangent to the given conic with the help of calculus .

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: The equation of the conic is x2 + 10x -3y = -13.

Q: In each part, name the conic section described. (a) The set of points whose distance to the point…

A: To Determine:  In each part, name the conic section described.(a) The set of points whose distance…

Q: equation

A: Please refer to the image below

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Use the Discriminant Test to determine the type of the conic section (in each case, the equation is…

A: To determine the type of conic section

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section......…

A: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section.…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (0, ±2),…

A: follow the procedure given below.

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

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Q: Use the Principal Axes Theorem to perform a rotation of the axes to eliminate xy term in the…

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Q: Identify and graph the conic whose equation is in attachment.

A: Consider the given equation as 5x2+4xy+2y2-285x-45y+4=0

Q: Find the equation by determining the type of the conic and draw its graph.

A: the equation is given to us  25x2+9y2-100x+54y-44=0

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A:

Q: use the Discriminant Test to determine the type of the conic section (in each case, theequation is…

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

A: We have given the equation; y2 − 4x − 4 = 0 Which can be rewritten as; y2 =4x + 4  (y-0)2 =4(x +1)

Q: find the vertices and foci of the conic section.  x 2/4 − y 2/9 = 36

A: To find the vertices and foci of the conic section. Given the equation, x24 − y29 = 36x2144 − y2324…

Q: 9(X-2) -36

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Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (1, 2),…

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Find an equation for the conic that satisfies the given condition Parabola, Vertex (0, 0), Focus (0,…

A: We have to find out parabola equation

Q: identify the conic section. Find the vertices and foci.

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Given, 2y2 + 4x + 8y = 0

Q: In Exercise, use a translation of axes toput the conic in standard position. Identify the graph,…

A: Given: x2+y2-4x-4y+4=0 The equation can be written as…

Q: Which conic section is represented by the equation 2x2 + 4x -y + 9+0

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Q: The eccentricity of the conic section below is 1 Enter

A: The given conic section is a parabola. Which is of the form  (x-h)2 =4ay

Q: Identify the conic, write in standard form and graph it: 16x2 + 4y2− 64x − 24y + 36 = 0.

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Identify the conic section that appears in the drawing of a wooden pencil in the figure.

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Q: Classify(name) the conic: Axis of Symmetry parallel to: x- axis or y-axis (circle one) Opens: Up…

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Q: 2. Determine the equation of the conics shown below

A: Given conic is a hyperbola. From the figure, the center of the hyperbola is (h, k) = (-3, 2),…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Convert to standard form, determine the type of conic, then graph the equation, Equation, Center,…

A: To fins the graph the equation, Equation, Center, Foci, Vertices, Asymptotes

Q: Identify the conic represented by the equation, 5x2 - 8xy + 7y2 - 9√5x - 9 = 0 without using a…

A: Consider the given equation of conic  5x2-8xy+7y2-95x-9=0 Now, compare the given equation of conic…

Q: use the Discriminant Test to determine the type of the conic section (in each case, theequation is…

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Q: Determine the equation of the conics shown below

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