Find Coefficients in the Equation y=3-x-x²: Step-by-Step Guide

To solve this problem, we need to compare the given quadratic function with the standard form.

The given function is $y = 3 - x - x^2$. We can rearrange this into the standard quadratic form:

$y = -x^2 - x + 3$.

In the standard quadratic form, $y = ax^2 + bx + c$, we identify the coefficients:

• The coefficient of $x^2$ is $a = -1$.
• The coefficient of $x$ is $b = -1$.
• The constant term is $c = 3$.

Therefore, based on the standard quadratic form, the parameters are $a = -1$, $b = -1$, and $c = 3$.

We match these coefficients to the given multiple-choice answers.

Therefore, the correct answer choice is:
$a = -1, b = -1, c = 3$.