Find Coefficients in y = 3x² + 4 - 5x: Term-by-Term Analysis

To solve this problem, we'll follow these steps:

• Step 1: Rearrange the given quadratic function into the standard form.
• Step 2: Identify the coefficients by comparing them with the standard quadratic function.

Now let's work through each step:

Step 1: The given quadratic is $y = 3x^2 + 4 - 5x$. Rearrange this function to align terms with their degrees:
$y = 3x^2 - 5x + 4$.

Step 2: Compare this with the standard quadratic form $y = ax^2 + bx + c$, where:
$a = 3$ (the coefficient of $x^2$),
$b = -5$ (the coefficient of $x$),
$c = 4$ (the constant term).

Therefore, the correct choice is $a = 3, b = -5, c = 4$.