how do you find the vertex form using points on the graph

Question

The red birds flight is reprsented on the praph with only three sets of data points and the points are (0,0) (32,0) (16,25)

Answer 1

Plot the three points. (16, 25) is the vertex

f(x) = a(x - 16)² + 25

Use any two of the three points to determine a. (It's negative!)