Given: (x - 2) - (y - 1)² = 1, identify the center, vertices, and foci. 4 5

Q: Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the…

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Q: Test for symmetry with respect to each axis and to the origin. y = x4 − x2 + 3

A: Given y=x4-x2+3Test of symmetry about X axis Substitute -y in place of y ,-y=x4-x2+3…

Q: t 36.(x+1) =4 2 2

A: The given equation,(y-8)22+36(x+1)2=4

Q: A nerd guitarist attempted to measure the auxiliary rectangle from the dips of his preloved electric…

A: The standard form of a hyperbola with the traverse axis on the x axis is x-h2a2-y-k2b2=1.  Here h,k…

Q: Rewrite the equation 4x2 + 3y2 – 16x – 12y + 16 = 0 to standard form and identify the coordinates of…

A: The given equation is 4x2+3y2-16x-12y+16=0. We need to first rewrite it to standard form. The have…

Q: Identify the center vertices, co-vertices, and foci of x2+9y2+6x-90y+225=0

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Q: There is one point of intersection in the graphs of the conics. (x - 3) + (y+ 2) = 36 (y +2) = 8 (x…

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Q: test for symmetry with respect to each axis and tothe origin.y = x2 − 6

A: test for symmetry with respect to each axis and tothe origin y = x2 − 6

Q: Can you assist me in answering this? (Not graded - solely for acquisitional purposes)

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Q: I. Sketch and identify the graph of the following equations in R³ : 1. 9a2 + 4y2 = 36 %3D

A: The standard form of the ellipse is x2a2+y2b2=1. The given equation is 9x2+4y2=36.

Q: Test for symmetry with respect to each axis and to the origin y2 = x3 − 8x

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Q: The circle given by the equation x² + y² + ax + by + c = 0 passes through the points (-2, 0), (1,…

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Q: A. Given the following information about the hyperbola, find i. FOCI: (-4, 0) (4, 0); VERTICES:…

A: # we are entitled to solve one question at a time , please resubmit the other if you wish to get it…

Q: - y = x-4 Axis of Symmetry: Vertex: Sketch:

A: Given , y=x2-4 we have to find a) axis of symmetry  and b) vertex

Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

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: The center of D, is (Ro, R270}

A: THIS IS FALSE.

Q: ex?+12メu→3E0

A:

Q: y? 6. Given 1, where a > b > 0, the ordered b² pairs representing the vertices are and The ordered…

A: Given x2a2+y2b2=1, where a>b>0 the ordered pair representing the vertices are ______ and…

Q: Let 4x^2+3y^2+8x-6y=5 find the center and foci. Graph

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Q: Test for symmetry with respect to each axis and to the origin y = 4 − √(x + 3)

A: Test for symmetry about the y-axis: Replace x with (-x). Simplify the equation. If the resulting…

Q: 6. Find the standard form of r2 + 4y² – 2r + 16y + 13 = 0. Give the coordinates of the center and…

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Q: Given: (x - 2) - (y - 1)= 1, identify the center, vertices, and foci. 4 5

A: Given, The equation of hyperbola in standard form,x - 224 - y - 125 = 1 ....................(1)We…

Q: Test for symmetry with respect to each axis and to the origin   y = x2 − 6

A: We plug -x in place of x  This equation is the same as the given equation. So the function is…

Q: Find b and c so that y=11x2+bx+c has vertex (−7,4). b= c=

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Q: Express the general form to its standard form and locate the center, vertices, covertices and foci…

A: equation 4x2 - y2 - 32x - 4y + 24 = 0

Q: The plane 3x + y + 2z = 6 is represented by which graph below? Select one:

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Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: What are the solutions to the system of conics? *- = 1 x2 4 2 y? = 8 (x + 1) Drag the ordered pairs…

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Q: Find the equation for the hyperbola with center C(0,0), foci F(0,±9), and vertices V(0,±7).

A: given center C(0,0) , foci(0,±9) and vertices (0,±7) of hyperbola  we have to find the equation for…

Q: 14. y = 2x- 12x + 10 Axis of Symmetry: Vertex: Sketch:

A: Given

Q: Find the center of the circle x² + y² - 8x = 2. Select one: O a. (4,0) O b. (0,4) O c. (0-4) O d.…

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Q: Find b and c so that y = 7x2 + bx + c has vertex (– 6, 2). - С —

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Q: Sketch and determine the center, foci and vertices of th equation of x2 (y-4)2 + 36 = 1. 49

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Q: Find b and c that Y= 8x2 +bx+c has vertex (4,0) b= c=

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Q: PO 6. If this triangle was reflected over the y-axis to form AH' J'K', what would be the coordinates…

A: I reflected this triangle about y axis

Q: Draw the graphs of the equations x – y+1=0 and 3x+2y – 12=0. Determine the coordinates of the…

A: Sketch the given equations:

Q: hat is the shape of the vertical cross section of this solid figure that passes through the vertex?

A: We have to identify the shape of the cross-section.

Q: Suppose the graphs of y 3x? – 3x + 9 and y = x + bæ? + 26x – 9 intersect at a = 2. %3D Find all…

A: To find all intersection points Given graphs are intersect at x=2

Q: Test for symmetry with respect to each axis and to the origin y = Ix3 + xI

A: Given, the equation of the curve y = |x3 + x|. And we have to check whether the curve is symmetric…

Q: 8. y = x- 2x Axis of Symmetry: Vertex: Sketch:

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Q: Find the vertices and foci of the ellipse. x2 + 3y2 + 2x – 6y + 1 = 0 vertices (x, y) = (smaller…

A: Standard form of ellipse x-h2a2+y-k2b2=1 Foci = h±c,k, where c=a2-b2 Vertices = h±a,k

Q: Find y, the shape is a trapezoid. (3x + 5)° (2y – 20)° (4x 30)

A: Sum of measurement of angles of a triangle is 180 degree

Q: Test for symmetry with respect to each axis and to the origin. xy = −2

A: xy=-2 Replace x, y by x, -y, we get x-y=-2⇒xy=2 Which is not same as original equation. Therefore…

Q: Test for symmetry with respect to each axis and to the origin     y = 9x − x2

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Q: How firel the center, foci, vertices and eccentricity for the following equations! x+4y²-4x-8y +4=0…

A: Concept: Ellipse: The equation of the ellipse with center at (h,k)  (x-h)2a2+ (y-k)2b2 =1 Hyperbola:…

Q: 1. Express the following equation in vertex form: y coordinates of the vertex point. 2 = 3x² 12x +…

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Q: .2 5t²+14t+3%3D0

A: Since you have posted a multiple number of question. we will solve first question here. To get…

Q: Find b and c so that y = – 10z² + bx +c has vertex (5, 10). b = c =

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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.