Craft an Algebraic Expression with Constants a=-1, b=-8, c=0

Question

Create an algebraic expression based on the following parameters:

$a=-1,b=-8,c=0$

00:00 Convert the parameters to a quadratic function

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

00:08 We'll connect the parameter to its corresponding unknown according to the formula

00:24 We'll write the function in its reduced form

00:29 And this is the solution to the question

To solve this problem, we'll start by substituting the given parameters into the standard quadratic formula:

$y = ax^2 + bx + c$

The problem gives us the values:

This means we need to replace $a$ , $b$ , and $c$ in the formula:

$y = (-1)x^2 + (-8)x + 0$

Simplifying this expression further:

The term with $a$ : (-1)x^2\) results in $-x^2$ .
The term with $b$ : (-8)x\) simplifies to $-8x$ .
The term with $c$ : $0$ contributes nothing to the expression, so it is omitted.

Thus, the final algebraic expression is:

$y = -x^2 - 8x$

Therefore, the algebraic expression based on the given parameters is

$-x^2 - 8x$ .

$-x^2-8x$