Crafting an Algebraic Expression Using the Parameters a = -1, b = 1, c = 0

Question

Create an algebraic expression based on the following parameters:

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

00:00 Convert the parameters to a quadratic function

00:03 We'll use the formula to represent a quadratic equation

00:14 Connect the parameter to the corresponding variable according to the formula

00:32 Write the function in its simplified form

00:43 And this is the solution to the question

To determine the algebraic expression, we start with the standard quadratic function:

$y = ax^2 + bx + c$

Given the values:

We substitute these into the formula:

$y = (-1)x^2 + 1x + 0$

Simplifying the expression gives:

$y = -x^2 + x$

Thus, the algebraic expression, when these parameters are substituted, is:

The solution to the problem is $\boxed{-x^2 + x}$ .

$-x^2+x$