Let y-4x²-16x-2y-19–0. Find the center, vertices, foci, and asymptotes. Then graph.

Q: Sketch the graph, indicate the focus, directrix, vertex, and axis of symmetry of x^2-6x-5y=-34

A: The standard form of parabola here is: (x-h)2=4p(y-k) with (h,k) as a vertex.

Q: Graph 3x + 5y=7

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Q: Draw the graph of the equation 2x + 3y = 12. %3D

A: We have to draw the graph of the equation: 2x+3y=12 Rewriting the equation in intercepts form,…

Q: Draw the graph of the equation. 5x + 4y = 20 %3D

A: Graphical problem

Q: Graph and locate the foci: 9y2 - 4x2 = 36. What are the equations of the asymptotes?

A: Consider the provided equation, 9y2-4x2=36 Graph and locate the foci and what are equations of the…

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

Q: Find the​ center, transverse​ axis, vertices,​ foci, and asymptotes. Graph the following equation.…

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Q: Sketch the graph, indicate the focus, directrix, vertex, and axis of symmet Y^2 - 12x + 8y = -40 %3D

A: Topic:- geometry

Q: Sketch the graph and axis of symmetry. Find the indicat 1. y=-4(x-2) +4 (y-K134p(x-h) + 4

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: Graph. 2x + 4y = - 8 Use the graphing tool on the right to graph the equati

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Q: Graph 2x+3y <12

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Q: Transform the equation into center-radius form. Draw its graph x² + y² - 2x + 4y -4 = 0

A: We have to find out centered and radius form

Q: Graph: 4x2 + 36y2 + 40x - 288y + 532 = 0. Where are the foci located?

A: On simplification, we get

Q: Graph the circle 4x^2+4y^2+8x-24y+31=0

A: The given circle equation is

Q: Sketch the graph of y = x2 − 5x + 4.

A: Sketch the graph of y = x2 − 5x + 4.

Q: Find the center and radius and graph: x^2+y^2-8x+4y-5=0

A: Given x2+y2-8x+4y-5=0

Q: Y2 X² Find the center, foci and asymptotes: : 1 -

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Q: 8) -8x=-15- x- y? | 曲

A: To find the centre and radius and graph it

Q: y =-3x +30x+7

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Q: Identify the vertex of the parabola: Y -5 -7 -4 -3 -2 -1 1 01 90 8 1 2

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Q: Sketch the graph y= -0.5x+1

A: The given function is: y=-0.5x+1

Q: Find center, vertices, foci, asymptotes and sketch the graph of 9x2 – y² – 36x – 6y + 18 = 0

A: 9x2-y2-36x-6y+18=0 9x2-36x-y2-6y=-18 9x2-4x-y2+6y=-18 divide both sides by 9 x2-4x-19y2+6y=-2…

Q: y=x^2-4x   find the equation of the Axis of Symmetrix and graph

A: Giveny=x2-4x

Q: 3x+2y=14 draw a graph

A: I have drawn the graph below

Q: Find the output for the graph y = -6x + 25 when the input value is 3. y = [?] %3D

A: We have to find y

Q: Find the output for the graph y = -3x + 11 when the input value is -4. y = [?] %3D Enter

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Q: Graph : 2x − 3y = 6

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Q: FInd the center,transverse axis,vertices,foci,and asymptotes.Graph each equation

A: Given equation is y216-x24=1. To find the center, transverse axis, vertices, foci and asymptotes.…

Q: By hand, sketch a graph of each of the following: a. y = 5**3 с. у3-1ogs x b. у35* +3 d. y = 2log, x…

A: a) y=5x+3b) y=5x+3c) y=-log5x

Q: Q1) Graph the parabola (y = X² + 4x + 3) and label the Vertex, axis, and intercepts.

A: Explanation of the answer is as follows

Q: Sketch the graph of (x+2)^2=-3(y-2)  Label the vertex and the x and y intercepts.

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Q: Graph: 4x2 - 24x - 9y2 - 90y - 153 = 0. Where are the foci located? What are the equations of the…

A: Given equations is 4x2-24x-9y2-90y-153=0. Given equation can be written as:…

Q: Graph the parabola. y=-3(r+5)-3

A: The given equation of the parabola is  y=-3(x+5)2-3

Q: y= -x^2 -8x -7  vertex form, and identify the vertex

A: Here, the vertex form is: (y-k)= a(x-h)^2. And vertex is (h,k).

Q: identify and sketch the graph y = √(4 - x^2) in R^3

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Q: Discuss and sketch the graph of 2x = y2 + 6y + 22.

A: We have given an equation 2x = y2 + 6y + 22Now, we wanna a perfect square of variable y, for that…

Q: Identify the vertex and axis of symmetry of each. Then sketch the graph. 2) y=2x +4x + 2 !! -6

A: l

Q: y + 8y + 4x + 36 a. Write in standard form. b. Identify i. The vertex ii. Focus

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Q: Find the center, transverse axis, vertices, foci, and asymptotes. Graph the equation. y? - 16x? -…

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Q: Find the verticies and foci, and sketch the graph: x2- 4y2 = 4

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: y=x²+6x-3 Put in vertex form

A: topic - polynomials

Q: Determine the vertex of the parabola. y = -2(x - 5)2 + 2

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Q: Classify the equation x2+y2+4x-12=0 Find its center, asymptotes, and radius.

A: The equation of circle is x-h2+y-k2=r2. where h,k is the center and r is the radius.

Q: find the vertex of each parabola. y = x2 + 6

A: Given parabolic equation is: y=x2+6 We have to find the vertex of the above parabola.

Q: Graph y=-4sin(3x-45)+2 and state the mapping rule

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Q: Find the output for the graph y = -6x + 25 when the input value is 3. %3D y = [?]

A: Given, y=-6x+25 If x=3 y=?

Q: Graph y=-2sec(x) on 0 ≤ x ≤ 2

A: Graph y=-2sec(x) on 0 ≤ x ≤ 2

Q: Find the r-intercept(s) and the coordinates of the vertex for the parabola y = -r-8z-16. %3D…

A: To find the x-intercept and coordinate of the vertex of parabola

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.