Given the graph of a hyperbola, find its equation. (The vertices are V = (-10, -4) and V, = (2, -4), the foci are F = (-4 - 6/2, -4) and F, = (-4 + 6/2, -4), and the center is C = (-4, -4).) y 20 10 V2 X 10 20 -20 -10 V1 -20-

Q: Find the equation of the parabola by using three points (4,0), (2,8), and (6,0). Step 1. Write the…

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Q: What is the vertex equation of a parabola with a vertex at (-5,-8) that has been reflected about the…

A: It is given that the vertex of the parabola is -5,-8. It is given that the equation of parabola…

Q: What are the Vertex and Axis of Symmetry of the parabola in the diagram below?

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

A: Consider the given equation

Q: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

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Q: Vertex: (6, -2) Co- Vertex: (0, -1) Center: (0, -2)   What are all the vertices and foci? What…

A: Let the given data is for ellipse, Vertex is given (6, -2) and center is (0, -2). Let other vertex…

Q: 12. (-2, 13), (1,-17), (7, 31)

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Q: Find the equation of the parabola that has the given conditions. Focus (6, -1); vertex (3, -1) A.…

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Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: (-3,3) 76543 (-3,2) -6-5-4-3-2-1 -2 -3 4 2 3 4 5 6 7 (2, 4)

A: This is a downward parabola so vertex is the top most point on the parabola

Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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Q: Find an equation of the parabola with vertex (-4,-5) and focus (1,-5)

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Q: Write the standard equation of each parabola. Find the focus and make a graph. (i) passes through…

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Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

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