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srujana_09
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Can we find the equation of a parabola when two points on it and the time of travel between the two points are given.It is also given that neither of the two given points is the vertex.
srujana_09 said:Can we find the equation of a parabola when two points on it and the time of travel between the two points are given.It is also given that neither of the two given points is the vertex.
To find the equation of a parabola when neither of two points is the vertex, you will need to use the general form of a parabola equation: y = ax^2 + bx + c. Then, you will need to plug in the coordinates of the two given points into the equation and solve for a, b, and c using a system of equations.
The general form of a parabola equation is y = ax^2 + bx + c, where a, b, and c are constants and x is the variable. This form is useful for finding the equation of a parabola when given two points that are not the vertex.
No, the distance formula (d = √((x2 - x1)^2 + (y2 - y1)^2)) is used to find the distance between two points on a coordinate plane. It cannot be used to find the equation of a parabola when neither of two points is the vertex.
The vertex is the point on a parabola where the curve changes direction. It is also the point of symmetry for the parabola. Knowing the vertex is important in finding the equation of a parabola, as it helps determine the values of a, b, and c in the general form of the equation.
Yes, if you are given the coordinates of a point on the parabola and the equation of the axis of symmetry, you can use this information to find the equation of the parabola. You will need to use the vertex form of a parabola equation: y = a(x-h)^2 + k, where (h,k) is the vertex. Plug in the coordinates of the given point and the equation of the axis of symmetry to find the values of a, h, and k, and then rewrite the equation in general form.