Vertex(2,2) Point (1,-1)

Question

Write the equation of the parabola in vertex form

Answer 1

h =2 k =2

 

y = a(x - 2)² + 2

 

Using (1, -1)

 

-1 = a(1 - 2)² + 2

 

-1 = a(-1)² + 2

 

-1 = a + 2

 

a = -3

 

y = -3(x - 2)² + 2

 

A²

 

Answer 2

(x-h)²=4p(y-k)

(x-2)²=4p(y-2), point (1,-1)

(1-2)²=4p(-1-2)

1=4p(-3)

1=-12p

p=-1/12

(x-2)²=4(-1/12)(y-2)

(x-2)²=(-1/3)(y-2)