Question

what is the equation of the axis of symmetry of the graph of $f(x)=3x^2 - 6x + 2$?\
$\bigcirc$ $x = 1$\
$\bigcirc$ $x = -6$\
$\bigcirc$ $x = -1$\
$\bigcirc$ $x = 2$

Explanation:

Step1: Identify quadratic coefficients

For $f(x)=ax^2+bx+c$, here $a=3$, $b=-6$

Step2: Apply axis of symmetry formula

Use $x=-\frac{b}{2a}$
$\displaystyle x=-\frac{-6}{2\times3}$

Step3: Simplify the expression

$\displaystyle x=\frac{6}{6}=1$

Answer:

A. x=1