Identify Coefficients in y=-3x²-4: Quadratic Function Analysis

To solve this problem, we will follow these steps:

• Step 1: Identify the form of a standard quadratic equation.
• Step 2: Compare the given function with the quadratic standard form.
• Step 3: Match the coefficients to the given answer choices.

Now, let's work through each step:
Step 1: The standard form of a quadratic function is $y = ax^2 + bx + c$.
Step 2: Given the function $y = -3x^2 - 4$, we compare this with the standard form:

• Coefficient $a$ is associated with $x^2$. Here, $a = -3$.
• Coefficient $b$ is associated with $x$. Since there is no $x$ term, $b = 0$.
• The constant term $c$ is the standalone number, which is $c = -4$.

Step 3: Given the coefficients $a = -3$, $b = 0$, and $c = -4$, match these with the choices provided. The correct choice is Choice 4: $a = -3, b = 0, c = -4$.

Therefore, the solution to the problem is $a = -3, b = 0, c = -4$.