Question

The graph of which function has an axis of symmetry at x = 3?

f(x) = x2 + 3x +1

f(x) = x2 -3x - 3

f(X) = x2 + 6x + 3

f(x) = x2 - 6x - 1

Answer 1

f(x) = x² - 6x - 1

To find the axis of symmetry, use the axis of symmetry formula: -b\2a, according to the Quadratic Equation y = Ax² + Bx + C. You understand?

Answer 2

`f(x) = x^2 - 6x -1`

Explanation:

To find axis of symmetry we use formula

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

`f(x) = x^2 + 3x +1`

a=1, b=3

`x=(-3)/(2)`

`f(x) = x^2 -3x - 3`

a=1, b=-3

`x=(3)/(2)`

`f(x) = x^2 + 6x + 3`

a=1, b=6

`x=(-6)/(2)=-3`

`f(x) = x^2 - 6x -1`

a=1, b=-6

`x=(6)/(2)=3`