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: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

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: Write an equation of the parabola in vertex form that passes through (13, 8) and has vertex (3, 2).…

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Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

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Q: Q2: A particle move on the path has parabola shape with equationf (x) = a + bx + cx²; Find the…

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Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

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Q: Y = 9x2-3x-5  Complete in vertex form

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Q: Write an equation of the parabola in intercept form. AY (3, 4) 4 (4,0) 8X (2, 0) An equation of the…

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Q: Determine the equation of the parabola with vertex (2,8) and x-intercepts 0 and 4 in factored form…

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

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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