Analyze the Quadratic Function: y=-3x-4x²+3 in Standard Form

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

• Step 1: Identify and write the standard form of a quadratic equation $y = ax^2 + bx + c$.
• Step 2: Compare the given function with the standard form to find the coefficients $a$, $b$, and $c$.

Now, let's work through each step:

Step 1: The standard form of a quadratic equation is $y = ax^2 + bx + c$.

Step 2: Comparing the given equation $y = -3x - 4x^2 + 3$ with the standard form:

• The coefficient of $x^2$ is $-4$, thus $a = -4$.
• The coefficient of $x$ is $-3$, thus $b = -3$.
• The constant term is $3$, thus $c = 3$.

Therefore, the coefficients are $a = -4$, $b = -3$, $c = 3$.

The correct option is: : $a=-4,b=-3,c=3$