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

Question

Create an algebraic expression based on the following parameters:

a=−1,b=1,c=2 a=-1,b=1,c=2

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
00:09 Connect the parameter to the corresponding variable according to the formula
00:25 Write the function in its reduced form
00:34 And this is the solution to the question

Step-by-Step Solution

First, we review our quadratic function formula: y=ax2+bx+c y = ax^2 + bx + c .

To create the expression:

  • We substitute a=−1 a = -1 , b=1 b = 1 , and c=2 c = 2 into the expression.
  • This results in: y=−1⋅x2+1⋅x+2 y = -1 \cdot x^2 + 1 \cdot x + 2 .
  • Simplifying, we have: y=−x2+x+2 y = -x^2 + x + 2 .

Thus, the algebraic expression is: −x2+x+2 -x^2 + x + 2 .

Answer

−x2+x+2 -x^2+x+2

More Questions

Related Subjects

Parabola Standard Form of the Quadratic Function The quadratic function Ways to represent a quadratic function Plotting the Quadratic Function Using Parameters a, b and c

Question Types

Plotting Functions with Parameters: Determine the algebraic representation of the following descriptions Standard Representation: Determine the algebraic representation of the following descriptions The function y=ax²+bx+c: Determine the algebraic representation of the following descriptions