Learn how to reflect and horizontally shift an exponential graph

The video tutorial explains how to graph a function and apply transformations, including shifts and reflections. It begins with graphing the parent function y = 3^x and discusses common student mistakes, such as misunderstanding the direction of shifts. The tutorial then details how to shift the graph 2 units to the right and reflect it over the X axis. The instructor emphasizes the importance of understanding these transformations and provides a step-by-step guide to applying them to graph points.

What is the first step in graphing transformations according to the video?

• Rotating the graph 90 degrees

• Reflecting over the Y-axis

• Graphing the parent graph

• Shifting the graph up

What happens to the graph when A is less than zero?

• It reflects over the Y-axis

• It reflects over the X-axis

• It shifts down

• It shifts up

How many units is the graph initially shifted to the left?

• 2 units

• 1 unit

• 3 units

• 4 units

What is the correct final transformation of the graph?

• Shift 2 units right and reflect over the Y-axis

• Shift 1 unit right and reflect over the X-axis

• Shift 2 units right and reflect over the X-axis

• Shift 2 units left and reflect over the Y-axis

What is the main focus of the final section of the video?

• Explaining the concept of asymptotes

• Discussing vertical shifts

• Introducing a new graphing technique

• Correcting the direction of the shift