HSC Together > Year11 > Graphing Exponential Functions and its Transformations

Maths Advanced

Graphing Exponential Functions and its Transformations

How do we graph exponential functions with transformations?

In this post, we will be graphing an exponential function of the form y = a^x for a > 0 and its transformations ka^{x} + c and y = ka^{x+b} where k, b and c are constants, as a part of the Prelim Maths Advanced course under the topic Exponential and Logarithmic Functions and sub-part Graphs and Applications of Exponential and Logarithmic Functions. We interpret the meaning of the intercepts of an exponential graph and explain the circumstances in which these do not exist.

 

The following two videos explain how to graph an exponential function using transformations, by describing the methodical step-by-step approach.

Part 1

 

Part 2