Parabola - Definition & Graph

parabola  The parabola formula the standard equation of a regular parabola is y2 = 4ax find out its equation, properties, and real-life applications  A parabola is a curve where any point is at an equal distance from: a fixed point , and; a fixed straight

3 Cases · Δ>0: the parabola cuts the x axis in 2 points, we say the parabola has 2 x intercepts, or 2 zeros, given by: x=−b±√Δ2a · Δ=0: the parabola touches The shape of arches in bridges often follows a parabolic curve The parabola equation is useful in structural engineering to design arches that

Recall, that the General Form of a parabola is y = ax2 + bx + c In order to find the vertex from this form, you must first find the x-coordinate of the vertex We know we can find the x-intercepts of the parabola by using the quadratic formula The x