Question

consider the quadratic function $f(x) = x^2 - 5x + 6$. what are the values of the coefficients and constant in the function?
$a = \square$
$b = \square$
$c = \square$

Explanation:

Step1: Recall standard quadratic form

The standard form of a quadratic function is $f(x) = ax^2 + bx + c$.

Step2: Match given function to standard form

Compare $f(x) = x^2 - 5x + 6$ with $f(x) = ax^2 + bx + c$:

• Coefficient of $x^2$: $a = 1$
• Coefficient of $x$: $b = -5$
• Constant term: $c = 6$

Answer:

$a = 1$
$b = -5$
$c = 6$