Question

The graph of the function f(x)= x2 − 4x + 6 is shown here. What is its axis of symmetry?

Answer 1

x=-b/2a

x = 4/2=2

..................

Answer 2

Axis of symmetry at
`x=2`

Explanation:

The graph of the function
`f(x)= x^2 - 4x + 6`

To find axis of symmetry we use formula
`x=(-b)/(2a)`

Given equation is in the form of

`y=ax^2+bx+c`

`a=1, b=-4, c=6`

Plug in the values in the formula

`x=(-b)/(2a)`

`x=(-(-4))/(2(1))`

`x=2`

Axis of symmetry at
`x=2`