Graphing exponential growth functions

The video tutorial explains how to graph an exponential growth equation with transformations. It begins by introducing the concept of graphing exponential functions and the importance of understanding transformations. The instructor demonstrates how to graph the parent function y = 3^x using a table of values. The tutorial then covers how to apply transformations to shift the graph left and down, adjusting the asymptote accordingly. Finally, the video concludes with determining the domain and range of the transformed graph.

What is the effect of adding a constant inside the exponential function?

• Shifts the graph downwards

• Shifts the graph upwards

• Shifts the graph to the left

• Shifts the graph to the right

What is the y-intercept of the parent function y = 3^x?

• (0, 0)

• (0, 1)

• (1, 0)

• (1, 3)

Which of the following describes the domain of the exponential function y = 3^x?

• From 0 to 3

• From -infinity to infinity

• From -infinity to 0

• From 0 to infinity

How does the graph of y = 3^x change when it is shifted 2 units to the left?

• The y-coordinates decrease by 2

• The x-coordinates increase by 2

• The x-coordinates decrease by 2

• The y-coordinates increase by 2

What happens to the asymptote when the graph is shifted 5 units down?

• It remains at y = 0

• It moves to y = 5

• It moves to y = -10

• It moves to y = -5

What is the new range of the function after shifting it 5 units down?

• From -5 to 5

• From -10 to infinity

• From -5 to infinity

• From 0 to infinity

What is the effect of subtracting a constant outside the exponential function?

• Shifts the graph upwards

• Shifts the graph to the right

• Shifts the graph downwards

• Shifts the graph to the left