Write the equation of the parabola in vertex form ? Vertex (1,4) point (2,3)

Answer 1

The vertex form of the equation of a parabola with vertex (h,k) is y = a(x-h)² + k

So, we have y = a(x-1)² + 4

Since the point (2,3) is on the graph, 3 = a(2-1)² + 4

3 = a + 4. So, a = -1.

y = -(x-1)² + 4