Question

What is the vertex of `y=x^2-2x+6`?

Answer 1

( 1 , 5 )

Explanation:

The standard form of a quadratic function is `y = ax^2 + bx + c`

the function here `y = x^2 - 2x + 6 " is in this form "`

and by comparison obtain : a = 1 , b = - 2 and c = 6

x-coord of vertex `=( -b)/(2a) =( -(-2))/2 = 1`

and y-coord `= (1)^2 - 2(1) + 6 = 1 - 2 + 6 = 5`

`rArr " vertex " = (1 , 5 )`