Question

What is the quadratic in vertex form that has a vertex of (-1, 5)

Options in image

Answer 1

Choice C is correct answer.

Explanation:

We have given a vertex of a equation.

vertex = (-1,5)

We have to find the quadratic in vertex form.

The 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-(-1))²+(5)

y = (x+1)²+5 which is equation in vertex form that has a vertex of (-1,5).

Answer 2

Third option

`y = (x+1) ^ 2 + 5`

Explanation:

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

We have the vertice. (-1, 5)

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

`y = (x-h) ^ 2 + k`.

Where (h, k) is the vertex.

So if the vertex is (-1, 5), the equation sought is:

`y = (x-(-1)) ^ 2 + 5`

`y = (x+1)) ^ 2 + 5`

Therefore the answer is the Third option.