Answer: The focus is located at (0 -3)The parabola can be represented by the equation x^2 = -12y Government Midterm 1
A parabola with its vertex at the origin has a directrix at y = 3.Which statements about the parabola are true? Check all that apply. Photography

In mathematics a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.It fits several superficially different mathematical descriptions which can all be proved to define exactly the same curves.. One description of a parabola involves a point (the focus) and a line (the directrix ).The focus does not lie on the directrix . The parabola is the locus of points in ...

This is extremely easy to verify in coordinates: dilating the parabola y =ax^2 by R gives y /R = a(x/R)^2 which has exactly the same effect as the result of scaling the parameter a by 1/R or scaling along the y -axis by 1/R or scaling along the x-axis by the square root of R. --JBL 16:30 16 August 2015 (UTC) I realize all that. But a figure ...

For example a univariate (single-variable) quadratic function has the form = + + ≠in the single variable x.The graph of a univariate quadratic function is a parabola whose axis of symmetry is parallel to the y -axis as shown at right.. If the quadratic function is set equal to zero then the result is a quadratic equation.The solutions to the univariate equation are called the roots of the ...

Thus it is the distance from the center to either vertex of the hyperbola. A parabola can be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily far away in one direction keeping fixed. Thus a and b tend to infinity a faster than b. The major and minor axes are the axes of symmetry for the curve: in an ellipse the minor ...

Angle trisection is a classical problem of compass and straightedge constructions of ancient Greek mathematics.It concerns construction of an angle equal to one third of a given arbitrary angle using only two tools: an unmarked straightedge and a compass.. The problem as stated is impossible to solve for arbitrary angles as proved by Pi...


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