Math tutorial for graphing an exponential function with transformations

The video tutorial explains transformations in graphing, focusing on the equation Y = 2 * B^X - H + K. It discusses the roles of A, B, and H in graph transformations. A affects vertical stretching and the Y-intercept, while B influences the growth rate. H determines horizontal shifts, specifically shifting the graph left when negative. The tutorial concludes with graphing techniques and the concept of asymptotes.

What does the variable 'B' primarily affect in the equation Y = 2 * B^X - H + K?

• The vertical stretch

• The growth rate of the graph

• The horizontal shift

• The y-intercept

What is the effect of a larger B value in a growth equation?

• Slower growth

• Horizontal compression

• Faster growth

• No change in growth

In the equation Y = 2 * B^X - H + K, what does the 'a' value influence?

• The horizontal shift

• The vertical stretch

• The growth rate

• The asymptote

How does a negative H value affect the graph of the function?

• Stretches the graph vertically

• Shifts the graph to the right

• Compresses the graph horizontally

• Shifts the graph to the left

What remains unchanged if the graph is not moved up or down?

• The horizontal shift

• The growth rate

• The y-intercept

• The asymptote