Formulate an Algebraic Expression: Given a=1, b=-1, c=1

Question

Create an algebraic expression based on the following parameters:

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

00:00 Convert the parameters to a quadratic function

00:03 Use the formula to represent a quadratic equation

00:08 Connect the parameter to its corresponding unknown according to the formula

00:22 Write the function in its reduced form

00:30 And this is the solution to the question

To solve this problem, let's form the algebraic expression using the standard quadratic formula:

$y = ax^2 + bx + c$

Given are the values:
$a = 1$ ,
$b = -1$ ,
$c = 1$ .

Substituting these values into the formula, we have:
$y = 1 \cdot x^2 + (-1) \cdot x + 1$

This simplifies to:
$y = x^2 - x + 1$

Thus, the algebraic expression is $\boldsymbol{x^2 - x + 1}$ .

The correct choice from the given options is:

Choice 3: $x^2-x+1$

$x^2-x+1$