Constructing an Algebraic Expression: Parameters a = -1, b = 0, c = 0 Explained

Question

Create an algebraic expression based on the following parameters:

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

Video Solution

Solution Steps

00:00 Convert the parameters to a quadratic function
00:03 We'll use the formula to represent a quadratic equation
00:12 We'll connect each parameter to its corresponding variable according to the formula
00:29 We'll write the function in its reduced form
00:48 And this is the solution to the question

Step-by-Step Solution

We begin by noting that the general form of a quadratic function is represented by the equation:

y=ax2+bx+c y = ax^2 + bx + c

Given the parameters a=1 a = -1 , b=0 b = 0 , and c=0 c = 0 , we substitute these values into the equation:

y=(1)x2+(0)x+0 y = (-1)x^2 + (0)x + 0

Simplifying the expression, we get:

y=x2 y = -x^2

Thus, the algebraic expression representing the given parameters is x2 -x^2 .

The correct answer choice that corresponds to this expression is:

x2 -x^2

Answer

x2 -x^2