The video tutorial explains the differences between growth and decay functions, focusing on exponential functions. It demonstrates how to transform a decay function into a growth function by rearranging its components. The tutorial then guides viewers through graphing the parent function and applying transformations such as reflections and shifts. Key concepts like domain, range, and asymptotes are discussed, providing a comprehensive understanding of graphing exponential functions with transformations.

What is the condition for a function to be considered a growth function?

• B is greater than one

• B is equal to zero

• B is less than zero

• B is less than one

Which transformation reflects the graph over the X-axis?

• Adding a constant inside the function

• Adding a constant outside the function

• Subtracting a constant outside the function

• Multiplying by a negative constant

Which transformation shifts the graph to the left?

• Subtracting a constant inside the function

• Adding a constant inside the function

• Multiplying by a negative constant

• Adding a constant outside the function

What are the initial points used for graphing the parent exponential function?

• (1, 0) and (B, 1)

• (0, B) and (1, 1)

• (0, 0) and (1, 1)

• (0, 1) and (1, B)

How does shifting the graph down affect the asymptote?

• It does not affect the asymptote

• It moves the asymptote down

• It moves the asymptote to the right

• It moves the asymptote up

What is the new range of the function after all transformations?

• From zero to negative two

• From negative infinity to negative two

• From negative infinity to zero

• From zero to infinity

What is the domain of the transformed function?

• From zero to infinity

• From negative infinity to zero

• From negative infinity to infinity

• From zero to negative two