Respuesta :

Answer:

First option

[tex]y = (x-7) ^ 2 + 9[/tex]

Step-by-step explanation:

In this case we must write a quadratic equation in the vertex form.

We have the vertice. (7, 9)

We know that the vertex form for a quadratic equation is:

[tex]y = (x-h) ^ 2 + k[/tex].

Where (h, k) is the vertex.

So if the vertex is (7, 9), the equation sought is:

[tex]y = (x-7) ^ 2 + 9[/tex]

Therefore the answer is the first option.

Answer:

Choice A is the answer.

Step-by-step explanation:

We have given a vertex of a equation.

vertex  = (h,k)  = (7,9)

We have to find the quadratic in vertex form.

The quadratic equation in vertex form is:

y = (x-h)²+k where (h,k) is vertex.

Putting given values in above formula, we have

y =  (x-7)²+(9)

y  = (x-7)²+9 is the quadratic equation in vertex form where (7,9) is vertex.