Question

Find the vertex of the function given below. y = x2 - 4x + 1

Answer 1

The vertex is (2, -3).
Use the formula x= -b/2a to find the x value., which is 2.Then, substitute it into the function, wherever you see an x. Follow order operations and you get y, which is -3.

Answer 2

Answer:  The vertex of the given function is (2, -3).

Step-by-step explanation:  We are given to find the vertex of the following function :

$y=x^2-4x+1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

the vertex form of a function with vertex at the point (h, k) is given by

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

From equation (i), we have

$y=x^2-4x+1\\\\\Rightarrow y=(x^2-4x+4)+1-4\\\\\Rightarrow y=(x-2)^2-3\\\\\Rightarrow y=(x-2)^2+(-3).$

Comparing the above equation with the vertex form, we get that the vertex of the given function is (2, -3).

Thus, the vertex of the given function is (2, -3).