Exploring Transformations of Functions

What operation is used to reflect a function across the x-axis?

• Subtraction of -1

• Addition of -1

• Division by -1

• Multiplication by -1

When reflecting a function across the x-axis, what happens to the exponent?

• It gets multiplied by -1

• It is subtracted by 1

• It remains unchanged

• It gets divided by -1

When reflecting a function across the x-axis, what happens to the coefficient of x?

• It remains the same

• It doubles

• It becomes negative

• It becomes zero

What does a vertical stretch of a function imply?

• Shifting the function downwards

• Shifting the function upwards

• Making the function narrower

• Making the function wider

How do you calculate the factor of vertical stretch?

• By dividing the new coefficient by the original

• By adding a constant

• By subtracting the original coefficient

• By multiplying the original coefficient

What is the effect of a vertical stretch by a factor of 3 on a function?

• It reduces the height by one-third

• It triples the width of the function

• It reduces the width by one-third

• It triples the height of the function

How does a vertical compression affect a function?

• Increases its vertical size

• Decreases its vertical size

• Moves it downwards

• Moves it upwards

What is the result of a vertical compression by a factor of 1/2?

• The function becomes twice as wide

• The function becomes twice as narrow

• The function shifts to the right

• The function shifts to the left

What does translating a function up two units affect?

• The function's exponent

• The function's coefficient

• The function's constant term

• The function's variable

What does translating a function three units to the right do to the input?

• Multiplies the input by 3

• Subtracts 3 from the input

• Adds 3 to the input

• Divides the input by 3