Graphing exponential growth equations

The video tutorial explains how to graph exponential functions using a table method. It covers graphing y = 3^X and y = 1/2 * 3^X, demonstrating how to calculate values and understand transformations. The tutorial highlights the effect of multiplying by a fraction on the graph's compression and Y-intercept. The process is summarized with a focus on graphing exponential functions with fractional coefficients.

What is the purpose of using a table method when graphing exponential functions?

• To simplify the function

• To find the exact solution to the function

• To visualize the effect of transformations on the graph

• To determine the domain of the function

When graphing y = 3^x, what is the y-value when x = 0?

• 1

• 1/3

• 3

• 9

How does multiplying the function y = 3^x by 1/2 affect the graph?

• It reflects the graph over the x-axis

• It compresses the graph vertically

• It stretches the graph vertically

• It shifts the graph to the right

What is the new y-intercept of the graph after applying the transformation y = 1/2 * 3^x?

• 1/2

• 1

• 9

• 3

What is the main visual difference between the graphs of y = 3^x and y = 1/2 * 3^x?

• The transformed graph is shifted upwards

• The transformed graph is compressed vertically

• The transformed graph is reflected over the y-axis

• The transformed graph is stretched horizontally