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

Respuesta :

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:

[tex]f(x) = x^2 - 6x -1[/tex]

Step-by-step explanation:

To find axis of symmetry we use formula

[tex]x=\frac{-b}{2a}[/tex]

[tex]f(x) = x^2 + 3x +1[/tex]

a=1, b=3

[tex]x=\frac{-3}{2}[/tex]

[tex]f(x) = x^2 -3x - 3[/tex]

a=1, b=-3

[tex]x=\frac{3}{2}[/tex]

[tex]f(x) = x^2 + 6x + 3[/tex]

a=1, b=6

[tex]x=\frac{-6}{2}=-3[/tex]

[tex]f(x) = x^2 - 6x -1[/tex]

a=1, b=-6

[tex]x=\frac{6}{2}=3[/tex]