Question

modeling and analyzing quadratic functions: quadratic equations what are the values of a, b, and c in the quadratic equation ( 0 = 5x - 4x^2 - 2 )? ( a = 5, b = 4, c = 2 ) ( a = -4, b = 5, c = -2 ) ( a = 4, b = -5, c = -2 ) ( a = 5, b = -4, c = -2 )

Explanation:

Step1: Recall standard quadratic form

The standard quadratic equation is $0 = ax^2 + bx + c$.

Step2: Rearrange given equation

Rewrite $0 = 5x - 4x^2 - 2$ in standard order:
$0 = -4x^2 + 5x - 2$

Step3: Match coefficients to standard form

Compare $0 = -4x^2 + 5x - 2$ with $0 = ax^2 + bx + c$ to identify $a$, $b$, $c$.

Answer:

$a=-4, b=5, c=-2$