Graphing Logs and Exponentials WITHOUT Confusion

Understanding exponential and logarithmic graphs becomes much easier once you know how transformations work. In this lesson, I explain how to graph exponential and logarithmic functions step-by-step, including shifts, stretches, asymptotes, and domain/range analysis. We work through multiple examples carefully and visually using GeoGebra to help students truly understand how the graphs behave. This lesson is perfect for: • High school students • Precalculus students • SAT/IB/AP learners • Anyone struggling with logarithmic and exponential functions Topics covered: • Graphing exponential functions • Graphing logarithmic functions • Horizontal and vertical shifts • Transformations • Asymptotes • Domain and range • Understanding log behavior visually • Using GeoGebra for graphing Examples solved in this lesson: • 0:54 → y = 3(2^(x-1)) + 4 • 16:00 → log₂(x + 2) - 1 Software used: • GeoGebra If this lesson helped you, don’t forget to like, subscribe, and share it with someone who thinks logarithms were invented purely to destroy happiness. Homework Practice: 1. Graph y = 2^x - 3 2. Graph y = -3(2^(x+1)) + 1 3. Graph y = log₃(x-4) + 2 4. Find the asymptote of y = log(x+5) 5. State the domain and range of each graph For one-on-one tutoring & collaboration inquiries: Email: [email protected] #math #algebra #logarithms #exponentialfunctions #graphing #geogebra #precalculus #learnmath #mathtutorial #satmath #ibmath #functions #mathteacher #education #graphingfunctions