Find Coefficients in y = 4x + 4x²: Term-by-Term Analysis

To solve this problem, let's follow these steps:

• Step 1: Understand the given function.
• Step 2: Compare it with the standard quadratic form.
• Step 3: Identify the coefficients $a$, $b$, and $c$.

Now, let's work through each step:

Step 1: We are given the function $y = 4x + 4x^2$, which is written in terms of $x$.

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

Step 3: We need to rearrange the given function and align it with the standard form for easy comparison:
$y = 4x^2 + 4x + 0$.

By comparing with $y = ax^2 + bx + c$, we can directly match the coefficients:
- The coefficient $a$ for $x^2$ is $4$.
- The coefficient $b$ for $x$ is $4$.
- The constant term $c$ is $0$.

Therefore, the parameters are $a = 4, b = 4, c = 0$.