The graph of y=log base 2 of x looks like a curve that increases at an ever-decreasing rate as x gets larger. It becomes very negative as x approaches 0 from the right. The graph of y=-log …

So I encourage you to take some graph paper out and sketch how those transformations would affect our original graph to get to where we need to go. All right, now let's do this together.

log functions do not have many easy points to graph, so log functions are easier to sketch (rough graph) tban to actually graph them. You first need to understand what the parent log function …

The graph of y = log 2 x is shown below. Which of the following is the graph of y = 3 log 2 (x 4) ?

This topic covers: - Radicals & rational exponents - Graphs & end behavior of exponential functions - Manipulating exponential expressions using exponent properties - Exponential …

But the way that we've written it over here, it's actually given the dependent variable, it's easy to figure out what the independent variable needs to be for this logarithmic function.

But the way that we've written it over here, it's actually given the dependent variable, it's easy to figure out what the independent variable needs to be for this logarithmic function.

Given a few points on the graph of an exponential function, Sal plots the corresponding points on the graph of the corresponding logarithmic function. Created by Sal Khan.

Transforming exponential graphs (example 2) Graphing exponential functions Graphical relationship between 2ˣ and log₂ (x) Graphing logarithmic functions (example 1) Graphing …

Importantly, we can extend this idea to include transformations of any function whatsoever! This fascinating concept allows us to graph many other types of functions, like square/cube root, …