Write the equation in parabola in vertex form. Vertex: (1,4) , Point: (2,-3)

Question

Has to be in f(x)= a(x-h)^2+k

Answer 1

Since the vertex is (1,4), we have h=1, k=4.

 

For now we have y = a(x - 1)² + 4

 

Now use the point (2,-3) on the parabola to make a substitution and solve for a.

 

-3 = a(2 - 1)² + 4

 

-3 = a + 4

 

-7 = a

 

So the parabola has equation y = -7(x - 1)² + 4.