The Algebraic Expression Challenge: Formulate Using a=3, b=6, c=9

To solve this problem, we will follow these steps:

• Step 1: Identify the given parameters $a = 3$, $b = 6$, $c = 9$.
• Step 2: Use the standard formula for a quadratic expression, which is $y = ax^2 + bx + c$.
• Step 3: Substitute the given values into this formula.

Now, let's work through each step:
Step 1: We have the parameters $a = 3$, $b = 6$, $c = 9$.
Step 2: The standard form of a quadratic equation is $y = ax^2 + bx + c$.
Step 3: Substituting the given values into the expression, we get:

$y = 3x^2 + 6x + 9$

Therefore, the algebraic expression based on the given parameters is:

$3x^2 + 6x + 9$.