Constructing an Algebraic Expression with Constants: a = -1, b = -16, c = -64

Question

Create an algebraic expression based on the following parameters:

$a=-1,b=-16,c=-64$

00:00 Convert the parameters to a quadratic function

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

00:11 We'll connect the parameter to its corresponding variable according to the formula

00:34 We'll write the function in its reduced form

00:42 And this is the solution to the question

To solve the problem, we will create an algebraic expression using the specified parameters.

Step 1: Start with the general form of a quadratic expression: $y = ax^2 + bx + c$ .
Step 2: Substitute the given values ( $a = -1$ , $b = -16$ , $c = -64$ ) into the form. This yields: $y = -1x^2 - 16x - 64$ .
Step 3: Simplify the expression. Since the terms are already simplified, the expression remains: $y = -x^2 - 16x - 64$ .

Therefore, the algebraic expression based on the given parameters is $-x^2 - 16x - 64$ .

Final solution: The correct answer is $-x^2 - 16x - 64$ .

Among the given choices, this corresponds to choice 4:

$-x^2-16x-64$

$-x^2-16x-64$