Find the equation of the parabola which has axis parallel to the y-axis and which passes through the points `(0,2),(-1,0),a n d(1,6)dot`

Find the equation of the parabola with its axis parallel to x-axis and which passes through the points (1, 2), (-1, 3) and (-2, 1) .

Find the equaiton of the parabola with its axis parallel to x-axis and which passes through the points (1, 2), (-1, 3) and (-2, 1) .

Find the equation to the parabola whose axis parallel to the y-axis and which passes through the points (0,4)(1,9) and (4,5) and determine its latusrectum.

Find the equation of the parabola whose axis is parallel to x-axis and which passes through points (0,0), (1,1) and (2, 3)

Find the equation to the parabola whose axis is parallel to y -axis and which passes through the points (0,4).(1,9) and (2,6) and determine its latus rectum.

Equation of the parabola whose axis is parallel to Y- axis and which passes through the point (1,0),(0,0)and (-2,4) , is

Find the equation of the parabola whose axis is parallel to X-axis and which passes through the point (0,4),(1,9) and (-2,6) . Also, find its latusrectum.

Find the equaiton to the parabola whose axis is parallel to y-axis and which passes through the point (0, 4), (1, 9) and (-2, 6) . Determine its latus rectum.

Find the equation of the plane which is parallel to the plane 2x-3y+z+8=0 and which passes through the point (-1,1,2).