Write a quadratic equation to represent a function with the vertex (-4, 1)

y=a (x+4) ^2 + 1, for a real number a hat is different of 0.

Step-by-step explanation:

If we know only the vertex, there are many quandratic equations.

* Result: Vertex (m, n), the quadratic equation is y = a (x-m) ^2 + n for a real number a that is different of 0.

Here, the vertex (-4,1), we have the equation: y=a (x+4) ^2 + 1, for a real number a hat is different of 0.

Hope you understand.