Representing Quadratic Through Equations

• Quadratic function

  A function that can be written in the form of y = ax^2 + bx + c, where a, b, and c are real numbers and a ≠ 0
• Quadratic function

  • The exponent of the variable is 2, hence it is called a second degree function
  • Its graph is a parabola
• Solving a quadratic equation in standard form ax^2 + bx + c = 0


  1. Add a constant to both sides to get the equation in the form ax^2 + bx + c = 0

  2. Identify the values of a, b, and c
• Linear term


  The term with the first power of the variable (bx)
• Constant term


  The term without any variables (c)
• If the quadratic term (a) is equal to 0, the function becomes a linear function
• Characteristics of a quadratic function y = ax^2 + bx + c


  • a ≠ 0 (quadratic term)
  • b (linear term)
  • c (constant term)