A parabola `y=ax^(2)+bx+c` with `a gt0` passes through the points (-2,3)(pq), and (5,3). If (p,q) is the lowest point on the parabola, what is the value of p?

If y=ax^(2)+bx+c passes through the points (-3, 10), (0, 1), and (2, 15) , what is the value of a+b+c ?

A parabola passes through the points (0, 0) and (6, 0). If the turning point of the parabola is T(h, 4) , which statement must be true? I. h=2 II. If the parabola passes through (1, 2), then it must also pass through (5, 2). III. Point T is the highest point of the parabola

A parabola passes through the point the point (1,2), (2,1), (3,4) and (4,3). Find the equation of the axis of parabola.

The parabola y^(2) = 2ax passes through the point (-2,1) .The length of its latus rectum is

The parabola whose equation is y=ax^(2)+bx+c passes through the points (-3, -40), (0, 29), and (-1, 10) . What is an equation of the line of symmetry?

If the parabola y^(2) = 4ax passes through the point (3,2) , then the length of its latus rectum is

If the parabola y^(2) = 4ax passes through the point (4, 1), then the distance of its focus the vertex of the parabola is

If the parabola y^(2)=4ax passes through the point (4,5) , find the length of its latus rectum.

The parabola y^(2)=4ax passes through the point (2,-6) . Find the length of its latus rectum.

If the parabola y^(2)=4ax passes through the point (2,-3) then find the co-ordinates of the focus and the length of latus rectum.