How Do You Write an Equation For a Quadratic if You Have Three Points?

How Do You Write an Equation For a Quadratic if You Have Three Points?

Note:

Three points determine a parabola, so given three points you can write the parabola's equation. This tutorial will show you how!

Keywords:

  • problem
  • write
  • quadratic equation
  • standard form
  • given 3 points

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

  • Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

  • Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

      • What is a Parabola?What is a Parabola?

      What is a Parabola?

      If you graph a linear function, you get a line. If you graph a quadratic function, you get something called a parabola. A parabola tends to look like a smile or a frown, depending on the function. Check out this tutorial and learn about parabolas!

  • Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.