Find a, b, and c so that the graph of the parabola with equation y=a+bx+cx^2 passes through the points (-2, 3), (-1, 2), and (1, 6).

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: The equation of the parabola culminating at P (1,4) and through (3,0) is f(x)= ax^2+bx+c, so the…

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Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: -16 + -12 -8 -4 20 94 16- 12+ 8 4 -8- + -12+ -16+ 4 8 12 + + 16 20

A: y2=7x

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: Determine the equation of a parabola whose zeros are 2 and -11 and whose graph passes through the…

A: The zeros of the parabola are 2 and -11 and the graph passes through the point (3, 84). Let the…

Q: The center of the geometric figure described by 16x^2-160x+36y+292=0 is at what point?

A: We have the given function as 16x2-160x+36y+292=0 On solving further by using completing the square…

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: 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: Write the equation of the hyperbola 25x^2-9y^2-150x-36y-36=0 in standard form.

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Q: the value of a in y=ax^2+bx+c and the vertex of the parabola are given. how many x-intercepts does…

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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…