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

y = 4(x - 3)² + 2

Explanation:

Answer 2

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