Exploring Exponential Function Transformations

What is the parent function used in the video for transformations?

• y = x^2

• y = 3^x

• y = |x|

• y = 2^x

What is the domain of all exponential functions?

• 0 to infinity

• Negative infinity to positive infinity

• 0 to 1

• Negative infinity to 0

What happens to the y-intercept when a negative coefficient is introduced?

• It becomes positive

• It doubles

• It becomes negative

• It remains the same

How does adding a constant to the function affect the graph?

• No effect

• Shifts it up or down

• Shifts it right

• Shifts it left

What is the new y-intercept when the function is shifted up by 3 units?

• 0, 1

• 0, 2

• 0, 3

• 0, 4

What is the asymptote when the function is shifted down by 4 units?

• y = 4

• y = -3

• y = 0

• y = -4

What is the range of the function when it is shifted up by 3 units?

• 0 to infinity

• Negative infinity to 0

• Negative infinity to 3

• 3 to infinity

What happens to the graph when the exponent is changed to x - 4?

• Shifts left by 4 units

• Shifts down by 4 units

• Shifts right by 4 units

• Shifts up by 4 units

What is the y-intercept when the exponent is x - 4?

• 0, 16

• 0, 1/16

• 0, 4

• 0, 1

Does the domain change when the exponent is altered?

• Only if the base is changed

• Sometimes

• No

• Yes