Equation of parabola in its standard form

Equation of parabola in its standard equation

Derive the equation of a parabola in the standard form y^(2)=4ax with diagram.

Reduce the following equation of parabola to a standard form, hence find the vertex focus and the equations of the directrix and equation of latus rectum : 4x-y^(2)+2y-13=0 .

Equation of hyperbola in standard form

The equation of the hyperbola in standard form, if the foci are (+-10,0) and eccentricity 5/2 is

Find the equation of the hyperbola in standard form , if : it is confocal with the ellipse (x^(2)//9) + (y^(2)//5) = 1 and its eccentricity is (5/6) + eccentricity of the parabola 5y^(2) = 9x

Equation of ellipse in its standard equation

Write the equation a/4+b/3=4 in the standard form.

Standard equation of parabola various results for parabola focal distance

What is adfected quadratic equations ? Write its standard form.