Create an Algebraic Expression with Parameters: a = -1, b = 2, c = 0

Question

Create an algebraic expression based on the following parameters:

a=1,b=2,c=0 a=-1,b=2,c=0

Video Solution

Solution Steps

00:00 Convert the parameters to a quadratic function
00:03 We will use the formula to represent a quadratic equation
00:12 We will connect the parameter to the corresponding variable according to the formula
00:29 We will write the equation in reduced form
00:35 And this is the solution to the question

Step-by-Step Solution

To formulate the quadratic expression using the given parameters, we follow these steps:

  • Step 1: Identify the formula: The standard form of a quadratic function is y=ax2+bx+c y = ax^2 + bx + c .
  • Step 2: Substitute the values: Insert a=1 a = -1 , b=2 b = 2 , and c=0 c = 0 into the formula.
  • Step 3: Simplify the expression: Apply the values directly and simplify where necessary.

Here’s how we perform each step:
Step 1: We start with the formula: y=ax2+bx+c y = ax^2 + bx + c .
Step 2: Substitute the given values: y=(1)x2+2x+0 y = (-1)x^2 + 2x + 0 .
Step 3: This simplifies to y=x2+2x y = -x^2 + 2x since adding zero does not change the expression.

Thus, the algebraic expression representing the quadratic function with the given parameters is y=x2+2x y = -x^2 + 2x .

Answer

x2+2x -x^2+2x