Create an Algebraic Expression with Parameters: a = -1, b = 2, c = 0

Create an algebraic expression based on the following parameters:

$a=-1,b=2,c=0$

To formulate the quadratic expression using the given parameters, we follow these steps:

• Step 1: Identify the formula: The standard form of a quadratic function is $y = ax^2 + bx + c$.
• Step 2: Substitute the values: Insert $a = -1$, $b = 2$, and $c = 0$ into the formula.
• Step 3: Simplify the expression: Apply the values directly and simplify where necessary.

Here’s how we perform each step:
Step 1: We start with the formula: $y = ax^2 + bx + c$.
Step 2: Substitute the given values: $y = (-1)x^2 + 2x + 0$.
Step 3: This simplifies to $y = -x^2 + 2x$ since adding zero does not change the expression.

Thus, the algebraic expression representing the quadratic function with the given parameters is $y = -x^2 + 2x$.