Algebra help please answer

(A) y = (x - 2)^2 + 1

Step-by-step explanation:

All the answer choices are in vertex form. Here's the formula for vertex form:

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

h = x coordinate of vertex

k = y coordinate of vertex

We already know that a = 1 because all of the answer choices have a = 1, so to find the right answer, you have to know how to write vertex form when given the vertex.

The vertex is (2, 1). The x coordiante (2) is equal to h, and the y coordinate (1) is equal to k.

Plug these two numbers into the formula and that's your answer!

y = (x - 2)^2 + 1

Hope it helps (●'◡'●)