Convert each equation to standard form. Then identify what type of conic section (parabola, ellipse, or hyperbola) each equation represents. If the equation is of a parabola, identify the vertex. If the equation is of an ellipse or hyperbola, identify the center. Part 1 x2 + 6x +8y +1 = 0 Part 2 9y2-4x2-18y +24x - 63 = 0 Part 4x + 36y 32x + 9y2 +64 = 0 Part 4 9x2 + 16y2-18x +64y - 71 = 0

Q: Find an equation of the hyperbola. Vertices: (2, ±4) Foci: (2, ±5)

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Q: Write an equation for each hyperbola. 6.

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Q: The equation -y+3) 3D (x+ 6)² represents which conic section? a. circle c. hyperbola b. ellipse d.…

A: 1. The given equation is -65(y+3)=(x+6)2 2. The given equation is y29+x225=1

Q: Write the stabdard form equation of each hyperbola. Vertices (0,-4) and (0,4) foci (0,-5) and (0,5)

A: To write the standard form equation of each hyperbola :- Explanation: There are two types of…

Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

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Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A: 3x2+4y2-12x-24y+48=0 3x2-12x+4y2-24y+48=0 3(x2-4x)+4(y2-6y)=-48…

Q: 4x^2-3y^2-8x+12y+4=0

A: Given the equation of a conic, we have to identify the conic

Q: Write each equation in standard form. State whether the graph of the equation is a parabola, circle,…

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Q: Identify the equation as a circle, a parabola, an ellipse, or a hyperbola. 16x2+9y2-98x + Sy+224 = 0…

A: Given

Q: Write an equation for each ellipse.

A: Given figure : From the figure, Center = (-1,1) Length of major axis = 4 Length of minor axis = 2…

Q: Complete the square to determine whether the equation represents an ellipse, a parabola, a…

A: Given equation, 9x2-6x-36y+37=0

Q: Graph each hyperbola. Identify the center, vertices, and points. x^2-6x-4y^2-16y-8=0

A: Graph each hyperbola. Identify the center, vertices, and points. x2-6x-4y2-16y-8=0 The graph of…

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: x2-4x=2y On simplification, we get ⇒x2-4x+4=2y+4⇒x-22=2y+2 Now it is in the form of x-h2=4py-k.…

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: Given equation is 16x2=y. We know that if equation is in the form y2=4ax or x2=4ay then it represent…

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: Consider: 2y2-4y=x-2. Solve for x. 2y2-4y=x-22y2-4y+2=x The equation x=ay2+by+c is an equation of…

Q: Write the standard form equation of each hyperbola. State the vertices and foci. Then graph.…

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Q: Write the equation of the following hyperbolas in standard form. Graph each hyperbola. List the…

A: Given: Write the equation of the following hyperbolas in standard form.Graph each hyperbola. List…

Q: State whether the graph of each equation is a parabola, circle, ellipse, or hyperbola. State the…

A: To state whether the graph of the given equation is a parabola, circle, ellipse, or hyperbola. To…

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4x 2−…

A: An equation has to have x2 or y2 to be an equation of any conic sections. If, in an equation neither…

Q: Write the stabdard form equation of each hyperbola. Vertices (0,1) and (4,1) foci (-1,1) and (5,1)

A: Given,Vertices: (0,1) and (4,1)foci: (-1,1) and (5,1)Now,distance between…

Q: Write the following equation in standard form. When completed, graph the conic shape and mark key…

A: 4(x-3)2+25(y+1)2=100 dividing both sides by…

Q: Graph each hyperbola. Identify the center, vertices, and points. (y+1)^2/25-(x+4)^2/9=1

A: Graph each hyperbola. Identify the center, vertices, and points. Given the equation is…

Q: Write the stabdard form equation of each hyperbola. Vertices (2,5) and (6,5) foci, (1,5) and (7,5)

A: General form of hyperbola is, (x-h)2a2-(y-k)2b2=1 where (h,k) is the center of the hyperbola and 2a…

Q: express the equation in standard form. then give coordinates of the center, vertices, co-vertices,…

A: (a) The equation of  the ellipse is 16x2+25y2+32x-150y-159=0 Rewrite the equation in the standard…

Q: Graph each hyperbola. Identify the center, vertices, and points. 2x^2+12x-8y^2+16y+6

A: Given: 2x^2+12x-8y^2+16y+6

Q: Identify whether the graph of the equation is a​ circle, an​ ellipse, a​ hyperbola, or a parabola.…

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Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: Given equation is 4x2+y2+8x-4y+4=0. Completing the square of the given equation.…

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: The given equation is y2-4y-4x2+8x=4

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all. (a)…

A: The general form of the conic section is: Ax2+Bxy+Cy2+Dx+Ey+F=0 If the signs of A and C are…

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4y 2…

A: Given equation is 4y2+9x2=12. To determine whether the equation defined an ellipse, a hyperbola,…

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all. (a)…

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Q: Write the equation of the following hyperbolas in standard form. Graph each hyperbola. List the…

A: Given: 9x2-16y2-18x+32y-151=0 Write the given equation in hyperbola standard form.

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. −4x +…

A: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all.…

Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A: We need to find the nature of the graph of the given equation

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: Given- y2=-16x To Identify- Equation.If it is a parabola,give its vertex,focus,and directrix, if it…

Q: -10 10

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Q: Convert each general form to standard form of the equation of hyperbola: -5x^2 + 2y^2-8y- 70x 287

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Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: The given equation is of ellipse,  y225+x216=1comparing with the general equation of…

Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

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Q: Write an equation for the hyperbola that has vertices (±2,0) and foci (±v 53,0).

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Q: Identify whether the graph of the equation is a​ circle, an​ ellipse, a​ hyperbola, or a parabola.…

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Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

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Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

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Q: Find the standard form of the equation of the hyperbola. 10

A: Here, the center of the hyperbola is -1,-2 and the vertices are -3,-2 and 1,-2. Also, the covertices…

Q: whether the transverse axis is horizontal 37. 81y² - x² + 486y - 8x + 632 = 0

A: Given equation of hyperbola,…

Q: Complete the square to determine whether the equation represents an ellipse, a parabola, a…

A: x2+16=4y2+2x On simplification, we get x2+16=4y2+8x⇒x2-8x+16-4y2=0⇒x-42-4y2=0⇒x-424-y-021=0

Q: Classify the equation as a circle,an ellipse,a parabola,or a hyperbola then graph

A: 25x2+4y2=100x24+y225=1x222+y252=1Ellipse equationx2a2+y2b2=1hence given equation is an ellipse…

Q: Complete the square and write the following equation in standard form. When completed, graph the…

A: This question is taken from the Circle which we have to find the center point radius and then plot…

Q: Find the center, foci, and vertices of the ellipse. 16x2 + 9y + 64x-90y + 145 0

A: Recall:  Standard form of ellipse,  (x-h)2b2+(y-k)2a2=1, a>b Where, (h,k)=center vertices=(h,k±a)…

Q: Convert each general form to standard form of the equation of hyperbola: 4x^2- 25y^2-24x+ 250y- 489…

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