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

To solve this problem, we'll compare the given quadratic function with its standard form:

• Step 1: Recognize the given function as $y = -4x^2 + 3$.
• Step 2: Write down the standard form of a quadratic function, which is $y = ax^2 + bx + c$.
• Step 3: Match corresponding terms to identify $a$, $b$, and $c$.

Now, let's work through these steps:

Step 1: The given function is $y = -4x^2 + 3$.

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

Step 3: By direct comparison:
- The coefficient of $x^2$ in the given expression is $-4$. Therefore, $a = -4$.
- There is no $x$ term in the given expression, which implies the coefficient $b = 0$.
- The constant term in the given expression is $3$, indicating $c = 3$.

Therefore, the solution is $a = -4$, $b = 0$, $c = 3$, which matches with choice 3.