Question

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?

Answer 1

 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