How Do You Write an Equation for a Translation of an Absolute Value Function?

How Do You Write an Equation for a Translation of an Absolute Value Function?

Note:

Want to write an equation to translate the graph of an absolute value equation? This tutorial takes you through that process step-by-step! Take an absolute value equation and perform a vertical and horizontal translation to create a new equation. Watch it all in this tutorial.

Keywords:

  • verbal
  • translation
  • absolute
  • value
  • equation
  • write

Background Tutorials

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      What is a Translation?

      Ever slide something across a table? If so, then you have performed a translation! In this tutorial, learn the definition of translation and see some really neat examples. Take a look!

  • Interpret parts of an expression, such as terms, factors, and coefficients.

      • What is a Constant?What is a Constant?

      What is a Constant?

      Constants are parts of algebraic expressions that don't change. Check out this tutorial to see exactly what a constant looks like and why it doesn't change.

  • Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

      • What Does the Constant 'k' do in y = |x|+k?What Does the Constant 'k' do in y = |x|+k?

      What Does the Constant 'k' do in y = |x|+k?

      When you're learning about translating absolute value equations, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation vertically.

      • What Does the Constant 'h' do in y = |x-h|?What Does the Constant 'h' do in y = |x-h|?

      What Does the Constant 'h' do in y = |x-h|?

      When you're learning about translating absolute value equations, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation horizontally.