Prove that the equation `y^2+2Ax+2By+c=0` is represent a parabola and whose axis is parabola to x axis.

Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and whose axis is parallel to x axis.

Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola whose axis is parallel to the x-axis.

Prove that the equation y^2+2ax+2by+c=0 represent a parabola whose axis is parallel to the axis of x. Find its vertex.

Prove that the equation y^2+2ax+2by+c=0 represent a parabola whose axis is parallel to the axis of x. Find its vertex.

Prove that the equation y^(2)+2ax+2by+c=0 represents a parabola whose axis is parallel to x-axis. Find its vertex and the equation of the double ordinate through the focus.

Prove that the equation y^(2)+2ax+2by+c=0 represents a parabola whose axis is parallel to the axis of x. Find its vertex.

Prove that the equation y^(2)+2ax+2by+c=0 represents a parabola whose axis is parallel to the axis of x. Find its vertex.

The equation y=x^2+2x+3 represent a parabola with its axis parallel to y-axis

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the value of a .

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the value of a .