Write the equation of the parabola that has the vertex at point (−0.5, 2.3) and passes through the point (5, 2.75).

The vertex form of equation of a parabola:

(h, k) - vertex

We have the vertex (-0.5, 2.3). Therefore h = -0.5 and k = 2.3.

Substitute:

We have the point (5, 2.75). Put the coordinstes of the point to the equation of parabola: