Create an Algebraic Expression Using Parameters: a = -1, b = -2, c = -5

Question

Create an algebraic expression based on the following parameters:

$a=-1,b=-2,c=-5$

00:00 Convert the parameters to a quadratic function

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

00:10 Connect the parameter to the corresponding variable according to the formula

00:28 Write the function in its simplified form

00:44 And this is the solution to the question

To create the algebraic expression for the quadratic function given the parameters, we follow these steps:

Step 1: Identify the values to substitute into the equation. Here, we have $a = -1$ , $b = -2$ , and $c = -5$ .
Step 2: Use the standard quadratic equation format $y = ax^2 + bx + c$ .
Step 3: Substitute the known values into the equation:

Substituting these values, we get:
$y = (-1)x^2 + (-2)x + (-5)$

Simplify this expression:
This simplifies to $-x^2 - 2x - 5$ .

Therefore, the algebraic expression is $-x^2 - 2x - 5$ .

$-x^2-2x-5$