In which form is the following function written? y-3=1/2(x-1)^2

Cartesian Form ⇒ completing square

Step-by-step explanation:

y - 3 = 1/2(x - 1)²

y = 1/2(x - 1)² + 3  ⇒ vertex (1 , 3) minimum

The given equation is in vertex form.

Step-by-step explanation:

We have given a quadratic equation.

y-3 = 1/2(x-1)²

We have to find the form of the function.

y-k = a(x-h)² is vertex form of equation in which (h,k) is vertex of equation.

Comparing vertex form and given equation, we have

k = 3 and h = 1

Hence, vertex is (1,3).

So, the given equation is in vertex form.