what is the axis of symmetry for the function f(x)=7 - 4x + x^2?\no x = -3\no x = -2\no x = 2\no x = 3

Explanation:

Step1: Identify coefficients

For a quadratic function $f(x)=ax^{2}+bx + c$, in $f(x)=x^{2}-4x + 7$, $a = 1$, $b=-4$, $c = 7$.

Step2: Use axis - of - symmetry formula

The formula for the axis of symmetry of a quadratic function is $x=-\frac{b}{2a}$. Substitute $a = 1$ and $b=-4$ into the formula: $x=-\frac{-4}{2\times1}$.

Step3: Simplify the expression

$x=\frac{4}{2}=2$.

Answer:

C. $x = 2$