Exploring Exponential Function Transformations

What does a negative sign in front of an exponential function indicate?

• Vertical shift upwards

• Horizontal shift to the right

• Reflection across the x-axis

• Stretch by a factor greater than one

If the coefficient in front of the parentheses is greater than one, what effect does it have on the function?

• It moves the function to the left

• It causes the function to stretch

• It moves the function to the right

• It causes the function to shrink

What does 'X minus a number' inside the exponent indicate about the function's shift?

• Shift to the left

• Shift to the right

• Vertical shift upwards

• No shift

How does 'X plus a number' inside the exponent affect the function's position?

• Vertical shift downwards

• Shift to the right

• Shift to the left

• No shift

What does a positive constant at the end of the function indicate?

• Shift to the left

• Shift to the right

• Vertical shift upwards

• Vertical shift downwards

What transformation occurs if there is no coefficient or a coefficient of 1 in front of the function?

• Shrink by a factor less than one

• Stretch by a factor greater than one

• No stretch or shrink

• Horizontal shift

In the example with a coefficient of 5 and 'X minus 1', what transformations are applied?

• Reflection, shrink by 5, shift left by 1

• Shrink by 5, shift right by 1

• Stretch by 5, shift left by 1

• Reflection, stretch by 5, shift right by 1

What does the transformation 'X plus 5' in the exponent signify?

• Shift to the left by 5 units

• No shift

• Shift to the right by 5 units

• Vertical shift upwards by 5 units

If an exponential function ends with '-7', what is the vertical shift?

• 7 units up

• 7 units down

• 5 units up

• 5 units down

In a function with no negative sign and an exponent of 'X', what is the horizontal shift?

• 1 unit to the right

• 2 units to the right

• 1 unit to the left

• No horizontal shift