Graph the equation. Determine the focus, and foci. vertex, and the equation of the directrix. (y-3)2=2x+4

Q: y = 7x + 4 Graph this equation

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Q: Use a graphing utility to graph the circle whose equation is x2 + 10x + y2 - 4y - 20 = 0 . Use a…

A: Given: The equation of the circle is

Q: 11x 3x

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Q: b)(y-4)^2=-12(y-2)

A: b) Given equation of parabola is: (y-4)2=-12(x-2) 4a = 12 a = 3 Therefore we get, The vertex of the…

Q: Graph the equation. Let x = - 3, - 2, - 1, 0, 1, 2, and 3. y= 4x+2 ..... -3

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Q: Use the graph shown to answer:If 4p = -28,then the equation of the directrix is______ .

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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: represent in the graph shown? Equation1: (x– 3)² + (9y – 2)² = 25 Equation 2: y =x - 2

A: Topic:- geometry

Q: (y+8)² 121 (x+10)² 36 1

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Q: Complete the square to write the following equation in the form y = a(x - h) + k. Then find the…

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Q: Draw the reflection of y 2x-6 across the x-axis. What point stays the same? What is the equation of…

A: if y=f(x) is reflected about x axis  then equation of image line y=-f(x)

Q: x-1)? (v+3)2 + = 1 36 4

A: Given: x-1236+y+324=1 To find: Foci, co- vertices, major axis, minor axis, latus rectum and…

Q: * +j? + 4x-6y- 36= 0

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Q: x = -4Cy-7) +5 2

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Q: Identify: vertex, axis of symmetry, direction of opening, intercepts of the axis. focus, directrix,…

A: First we solve given equation by completing square method to convert it into standard form of…

Q: Translate axes to identify the graph of equation and write equation in standard form. x2 + y2 − 2x −…

A: The given equation is x2+y2-2x-6y+10=0. Rewrite the above equation as follows.…

Q: Identify: vertex, focus, axis of symmetry, directrix, direction of opening, intercepts of the axis.…

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Q: Translate axes to identify the graph of equation and write equation in standard form. x2 + y2 − 8x −…

A: Consider the equation x2+y2-8x-6y=0 to write it on standard form, complete the square with x and y.

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

A: 2y2-x2+2x+8y+3=0 On simplification, we get…

Q: Which equation corrisponds to the graph shown?

A: Given graph

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

A: Find the center, transverse axis, vertices, foci, and asymptotes. Graph each equation.…

Q: Use a graphing calculator to graph the equation in the given viewing rectangle. [-50, 50] by [-0.2,…

A: Graph of the function is given as below,

Q: Graph the equation y=4x what are the points?

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Q: Which equation corresponds to this graph? O a2 +y = 20 O 5x2 +2y = 20 O 2a2+ 5y? 20 2a2-5y 20 %3D

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Q: Find the points of intersection of the graphs of the equations. 2+y = 18 -2x + y = 15 %3D %3D (х, у)…

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Q: Use the graph shown to answer:If 4p = -28, then the coordinates of the focus are _______.

A: 4p=-28⇒p=-7 Here vertex is, h, k=0, 0⇒h=0  &  k=0

Q: Which graph matches this equation? 1 x y = 4 + 5 3

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Q: Graph the equation and include the orientation. x = t2, y = 2t, osts 5 y

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Q: The equation of a circle is (x – 2)² + (y+ 4)² = 4. Which diagram below shows the graph of the…

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Q: Which graph matches this equation? 1 x y = 3 4 - 6 %3D

A: Step2

Q: Sketch the graph of 0 = 1/3. What is the rectangular equation for this graph?

A: Given: θ=π3

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Q: Match the equation with its graph. y? = 4x² + 9z?

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Q: What comic shape? What are all the parts and how do I graph the equation? 16(x+1)2+(y-1)2=144

A: Please divide both sides of the equation to arrive at the equation shown on the white board.

Q: T y = -csc T

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Q: Find the x- and y-intercepts of the equation y = (x – 3)2 + 2. Sketch the graph of the equation,…

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Q: Which graph matches this equation? 1 \X y = -3 - 1 1/2

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Q: Which equation best describes the graph? y -2x y=2x

A: Y = 2x Will be the right answer.

Q: 2 x+y+13y = y-32 %3D

A: Given Data :  Equation of circle x2+y2+13y=y−32                      To Find : Standard form of the…

Q: Graph. y=x² +3 Use the graphing tool to graph the equation.

A: Authoring guidelines:…

Q: Rewrite y = x + 6x + 10 in graphing (vertex) form by completing the square. Show all work and upload…

A: Given: y=x2+6x+10

Q: Graph the equation. Let x= -3, -2, - 1,0, 1, 2, and 3. y3 3x-2 ..... y -3

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Q: Graph the equation y = x2 - 3 .Let x = -3, -2, -1, 0, 1,2, and 3.

A: To graph the equation y=x2-3 using points at x=-3,-2,-1,0,1,2 &3. Making the table for the given…

Q: Use the graph shown to answer:If 4p = 4, then the coordinates of the focus are ______.

A: Vertex is, h, k=-2, -1⇒h=-2  &  k=-1&4p=4⇒p=1

Q: Use a graphing calculator to graph the equation in the given viewing rectangle.

A: y=x4-4x3 ;    -4, 6 by -50, 100

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

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Q: (y+4)*= -12 (x-6) %3D

A: the given equation is y+42=-12x-6 Rewrite the equation as follows Y2=-43X where Y=y+4 , X=x-6 ,a=3…

Q: The equation of a circle is (a-2)2 + (y+4)² = 4. Which diagram below shows the graph of the circle?…

A: The equation of circle is given by x-22+y+42=4 The standard equation of circle with center (h,k) and…

Q: 1. Which equation most likely represents the equation of the graph? A. y |x + 2 +5 B. y = -x- 2 + 5…

A: From the given absolute value function, we have to find its equation.

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.