The vertex of the parabola below is at the point (3, 2), and the point (4, 6) is on the parabola. what is the equation of the parabola?

 Vertex (3, 2): 

h = 3 
k = 2 

Point (4, 6): 

x = 4 
y = 6 

Vertex Form: 

y = a(x - h)² + k 

Subbing known values, 

6 = a(4 - 3)² + 2 
6 = a(1)² + 2 
6 = a + 2 
a = 6 - 2 
a = 4 

Equation: 

y = 4(x - 3)² + 2