Finding the formula associated with each parabola?
the question is:
part of a roller coaster is modeled by three parabola - some parts removed to give the diagram below.
The first parabola from the left meets the second at co-ordinates (7, 14). using this information from the diagram how can i find the formula associated with each parabola and also workout their relevant domains? hint: think of the 3rd parabola is a translation of the first.
Here's the diagram:
after looking at the diagram i plugged the (x, y) into the equation y = ax^2 + bx + c. For each point (x, y).
is this correct? what am i meant to do with the co-ordinates (7, 14)? and how do i proceed from this step to obtain not just the formula but ALSO the relevant domains?