Identify Coefficients in y=3x²+4x+5: Quadratic Equation Analysis

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

• Step 1: Identify the given quadratic function.
• Step 2: Compare it to the standard form $y = ax^2 + bx + c$.
• Step 3: Determine the values of $a$, $b$, and $c$.

Now, let's work through each step:

Step 1: The problem gives us the quadratic function $y = 3x^2 + 4x + 5$.

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

Step 3: By comparing $y = 3x^2 + 4x + 5$ with $y = ax^2 + bx + c$, we find:
- The coefficient of $x^2$ is $a = 3$.
- The coefficient of $x$ is $b = 4$.
- The constant term is $c = 5$.

Therefore, the solution to the problem is $a = 3, b = 4, c = 5$.

This matches choice 2, which states: $a = 3, b = 4, c = 5$.