# What is the focus of the parabola given by the equation x = 1/44 y^2?

• What is the focus of the parabola given by the equation x = 1/44 y^2?

Answer #1 | 20/12 2013 00:09
this parabola has the x-axis as its axis of symmetry ___ the origin is its vertex ___ opening in the plus x direction the vertex is midway between the focus and the directrix ___ the distance from the vertex to the focus (or the directrix) is labeled p the coefficient "a" of the 2nd order (squared) term is equal to ___ 1 / 4p in this case ___ 1 / 4p = 1 / 44 ___ p = 11 so the focus is ___ (11,0)
Positive: 67 %

For every positive value of x in the equation of the parabola, ... (x,y) on the parabola is equidistant from the focus ... then we can apply the formula y ...
Positive: 67 %
... and a given point F not on the line (the focus). ... the equation of a parabola with parameter and center ... and the x-axis from x=-4pi to 4pi.
Positive: 62 %
Equations. Place the parabola on the ... Where is the focus in the equation y 2 =5x ? ... we get y 2 = 4 (5/4) x, so a = 5/4, and the focus of y 2 =5x ...