the parabola of the vertex of (3,-2) and a point of (2,3)

Question

what is the equation with a vertex of (3,-2) and a point of (2,3)

 

Answer 1

y = a(x - h)² + k

 

h = 3

k = -2

 

y = a(x - 3)² - 2

 

Find a using the given point.

 

3 = a(2 - 3)² - 2

3 = a - 2

a = 5

 

y = 5(x - 3)² - 2

 

Test the solution.