Question

Write in vertex form the quadratic that has a vertex of (3,4)


`y = a(x-h)^(2) + k\\`
a = 1

h = ?
k = ?

Answer 1

Answer:
`h=3\\k=4`

Explanation:

By definition, we know that the quadratic equation in the vertex form is:

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

Where (h, k) is the vertex.

We have the vertice. (3, 4)

Then, if the vertex is (3,4), the equation sought is the following:

`y = (x-3) ^ 2 + 4`

Therefore the answer is:

`h=3\\k=4`

Answer 2

y = (x-3)²+4

h = 3 and k = 4

Explanation:

We have given a vertex of a equation.

vertex = (h,k) = (3,4)

a = 1

We have to find the quadratic in vertex form.

The quadratic equation in vertex form is:

y = a(x-h)²+k where (h,k) is vertex.

Putting given values in above formula, we have

y = 1(x-3)²+4

y = (x-3)²+4 is the quadratic equation in vertex form where (3,4) is vertex.

Here h = 3 and k = 4.