Find the vertex, focus and directrix of the parabolas whose equations are as follows: y2 + 6y + 8x + 25 = 0

Q: Graph the ellipse 9(x - 1)2 + 4(y + 3)2 = 36 and give the location of its foci.

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Q: consider the hyperbola represented by the equation - (x+5)^2/9^2+ (y-7)^2/13^2= 1

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Q: Locate vertex, focus, and the directrix of the following equations of parabola. x2 = -8y  y2= 4x…

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Q: Find the equation of the parabola with focus (5, 0) and directrixx = -5. а. b. x' = 20y c. y' = 20x…

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

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 23.12x=y^2

A: Given: The parabola is 23.12x=y2.   Calculation: Comparing with y2=4ax, we get 4a=23.12a=5.78…

Q: Convert the equation x2 - 2x - 4y + 9 = 0 to standard form by completing the square on x or y. Then…

A: Given:

Q: Convert the equation 36x2 + 9y2 - 216x = 0 to standard form by completing the square on x and y.…

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Q: Find the center, foci, vertices of the ellipse and sketch its graph 9x^2+4y^2+36x-24y+36=0

A: the equation of an ellipse is given in standard form: (x−h)2/a2+(y−k)2/b2=1

Q: Find the vertex, focus, directrix, and focal width of the parabola. x2 = 28y

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Q: Find the vertices, foci and eccentricity of the ellipse: x^2+4y^2=16

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Q: Convert the equation y2 - 2y + 12x - 35 = 0 to standard form by completing the square on x or y.…

A: Consider the provided parabola equation, y2-2y+12x-35=0 Find the vertex, focus, and directrix of the…

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 13.32y = z

A: We are given the parabola : -13.32y=x2 ⇒x2=-13.32y--(1) On comparing with the equation of parabola ,…

Q: Convert the equation: 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and…

A: Given: 4 x2+y2-24x+6y+9=0 To determine: Standard form of equation & graph of ellipse &…

Q: Convert the equation 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and…

A: 4x2+y2-24x+6y+9=0

Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: Convert the equation 4x2 + y2 + 16x - 6y - 39 = 0 to standard form by completing the square on x and…

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…

Q: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

A: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

Q: Analyze the equation. That​ is, find the​ center, vertices, and foci of the ellipse and graph it.…

A: We have analyze the given equation of ellipse.

Q: Find the vertex,focus,and directrix of the parabola given by y2 + 2y + 12x - 23 = 0.Then graph the…

A: y2+2y+12x-23=0⇒y2+2y=-12x+23⇒y2+2y+1=-12x+23+1⇒y+12=-12x+24⇒y--12=-12x-2 Now comparing with…

Q: Find the vertex, focus, and directrix for the parabola.

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Q: Convert the equation 49x2 + 16y2 + 98x - 64y - 671 = 0 to standard form by completing the square on…

A: Given equation is 49x2+6y2+98x-64y-671=0 To convert the given equation into standard from by…

Q: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

Q: Find the foci of the ellipse 16x2 + 9y2 = 144, and sketch its graph.

A: Given,          ellipse=16x2+9y2=144First we put the equation in standard form.Dividing by 144, we…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Vertex: (2,…

A: Given: Vertex is (2, -3) Focus is (2, -5)

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−4,2),…

A: Let the vertex V (-4,2) of the given parabola is left to the focus F(-4,-1) of the parabola. The…

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 15.6x = y?

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Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 +…

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and…

Q: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

A: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

Q: Find the endpoints of the minor axis and the foci of the given ellipse  16x2+9y2+36y-108=0

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Q: Find the focus of the parabola. -x- 6x+3y- 15=0 OD

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result:  Focus…

Q: Graph the ellipse and find the foci  9x2 + y2 + 108x - 8y + 331 = 0

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Q: Find the vertex, focus, and directrix of the parabola with the given equation, y2 - 4x - 10y + 21 =…

A: first we will write it in the general form which is (y-h)2=4a(x-k) where (k, h) are the vertices…

Q: Find the vertex, focus, and directrix of the parabola and sketch its graph, for the following…

A: The equation of the parabola is . By simplifying the given equation of parabola it becomes,

Q: Find the vertex, focus, foci and directrix of the parabola (x-6)^2+8(y+7)=0 and sketch its graph

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Q: Find the standard equation of the parabola opening to the left whose axis contains the major axis of…

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Q: for the ellipse 4x^(2)+y^(2)+24x-2y+21=0, find the vertices

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Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: Given the ellipse whose equation is 16x^2+49y^2+96x-196x-444=0. Locate the center, vertices,…

A: We will solve the problem

Q: Find the vertex, focus, and directrix of the parabola y2 + 6y + 8x + 25 = 0, and sketch its graph.

A: Parabola:         y2+6y+8x+25=0=>y2+2.3y+9+8x+16=0=>(y+3)2=-8x-16=>-(y+3)28=x+2

Q: Convert the equation 9x2 + 16y2 - 18x + 64y - 71 = 0 to standard form by completing the square on x…

A: Given equation is: 9x2 + 16y2 - 18x + 64y - 71 = 0 (9x2 - 18x) + (16y2 + 64y) - 71 = 0 (9x2 - 18x +…

Q: Analyze the equation. That​ is, find the​ center, vertices, and foci of the ellipse and graph it.…

A: 4y2+x2=8 14x2+y2=2 x28+y22=1 x-02222+y-0222=1 compare this equation with the standard form of the…

Q: Find the vertex, focus, and directrix of parabola with the given equation y2 - 4x - 10y + 21 = 0.…

A: y2-4x-10y+21=0⇒y2-10y=4x-21⇒y2-10y+25=4x-21+25⇒y-52=4x+4⇒y-52=4x+1⇒y-52=4x--1 Now comparing with…

Q: Rewrite the equation of the ellipse in standard form and graph it below by dragging the center,…

A: The given equation of ellipse is 25x2+150x+y2-8y+216=0. Rewrite the ellipse in its standard form as…

Q: Convert the equation to standard form by completing the square on x and y. Then graph the ellipse…

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Q: Find the vertex focus focal width and equation of the axis for each parabola. y^2+8y+4-6x+0

A: Given: y2+8y+4-6x=0 for finding given values, first we convert given equation in standard form of…

Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…