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

##### 1 Answer

Feb 20, 2016

( 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 )#