What Does the Constant 'k' Do to the Graph of f(x)=log(x)+k?

What Does the Constant 'k' Do to the Graph of f(x)=log(x)+k?

Note:

Translating a logarithmic function vertically can be fun, especially when you know how it's done! This tutorial shows what it takes to shift a logarithmic function up and down!

Keywords:

  • problem
  • logarithmic functions
  • function
  • logarithm
  • log
  • logs
  • translate
  • transformations
  • transformation
  • change
  • translation
  • vertical
  • vertically
  • k
  • slide

Background Tutorials

  • Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

  • Lines are taken to lines, and line segments to line segments of the same length.

      • What is a Translation?What is a Translation?

      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!

  • Use the properties of exponents to transform expressions for exponential functions.

      • What's an Exponential Function?What's an Exponential Function?

      What's an Exponential Function?

      Looking at an equation with a variable in the exponent? You have an exponential function! Learn about exponential functions in this tutorial.

  • Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.