How Do You Write a Quadratic Equation in Vertex Form if You Have the Vertex and Another Point?

How Do You Write a Quadratic Equation in Vertex Form if You Have the Vertex and Another Point?

Note:

You can write the vertex form for a quadratic equation if you have the vertex and one other point! This tutorial shows you how to take that information and write an equation for the quadratic in vertex form.

Keywords:

  • problem
  • vertex form
  • write equation
  • quadratic equation
  • point

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).

      • How Do You Evaluate an Algebraic Expression?How Do You Evaluate an Algebraic Expression?

      How Do You Evaluate an Algebraic Expression?

      Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.

      • What's the Order of Operations?What's the Order of Operations?

      What's the Order of Operations?

      Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions. You'll also see what happens when you don't follow these rules, and you'll find out why order of operations is so important!

  • 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!

  • Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)^2= q that has the same solutions. Derive the quadratic formula from this form.

      • What is a Quadratic Equation?What is a Quadratic Equation?

      What is a Quadratic Equation?

      You can't go through algebra without seeing quadratic equations. The graphs of quadratic equations are parabolas; they tend to look like a smile or a frown. There's also a bunch of ways to solve these equations! Watch this tutorial and get introduced to quadratic equations!