Using transformations and the parent graph to graph an exponential function

The video tutorial covers transformations in exponential functions, focusing on decay and growth problems. It explains how to apply transformations, including shifting and reflecting graphs, and discusses the implications of these changes on the graph's appearance. The tutorial also covers the concepts of domain and range in the context of transformed graphs.

What type of problem is identified when the base of an exponential function is less than one?

• Growth problem

• Decay problem

• Linear problem

• Quadratic problem

What does a negative exponent indicate in terms of graph transformation?

• Vertical shift

• Rotation

• Horizontal shift

• Reflection

How does adding a constant outside the parenthesis affect the graph of a function?

• Stretches the graph

• Shifts the graph up

• Shifts the graph down

• Reflects the graph

What transformation occurs when a positive constant is added inside the function's exponent?

• Shift right

• Shift left

• Reflect over x-axis

• Reflect over y-axis

What is the effect of a negative sign in front of the exponent on the graph?

• Reflects over the x-axis

• Reflects over the y-axis

• Shifts up

• Shifts down

What is the domain of an exponential function after transformations?

• Non-negative numbers

• Negative integers

• Positive integers

• All real numbers

What is the range of the transformed function if the graph approaches but never reaches y = 3?

• From 3 to 0

• From negative infinity to 3

• From 3 to infinity

• From 0 to 3