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The video tutorial explains how to apply transformations to functions, focusing on the differences between operations applied outside versus inside the function. It covers reflecting a function across the X-axis by multiplying by a negative outside the function and shifting a function horizontally by adjusting the function's input. The tutorial emphasizes understanding these transformations to correctly modify functions.

What is the key difference between applying operations outside versus inside a function?

• Both operations affect the function's domain.

• Both operations affect the function's range.

• Operations inside affect the function's range, while outside affects the domain.

• Operations outside affect the function's range, while inside affects the domain.

How do you reflect a function across the X-axis?

• Multiply by a positive inside the function.

• Add a negative inside the function.

• Add a positive outside the function.

• Multiply by a negative outside the function.

What does multiplying by a negative outside the function do?

• Reflects the function across the Y-axis.

• Reflects the function across the X-axis.

• Shifts the function upwards.

• Shifts the function downwards.

What is the result of shifting a function 2 units to the left?

• Add 2 to the function's output.

• Subtract 2 from the function's input.

• Add 2 to the function's input.

• Subtract 2 from the function's output.

When shifting a function horizontally, what is the general rule for the direction of the shift?

• The shift is in the same direction as the sign.

• The shift is opposite to the sign.

• The shift is always to the right.

• The shift is always to the left.