Find the inverse of a quadratic equation by applying a restriction

The video tutorial explains why a given function is not one-to-one and cannot have an inverse. It then discusses how to find the inverse of a restricted function by swapping variables and solving for the new variable. The tutorial highlights the importance of considering positive and negative values when introducing square roots and demonstrates how to graph the inverse function while applying necessary restrictions.

What test is used to determine if a function is one-to-one?

• Derivative Test

• Slope Test

• Horizontal Line Test

• Vertical Line Test

When finding the inverse of a function, what is the first step?

• Add a constant to both sides

• Swap the variables

• Multiply by a factor

• Take the derivative

Why is it necessary to consider only the positive root when finding the inverse?

• To avoid complex numbers

• To simplify calculations

• Due to the restriction on x-values

• Because the function is always positive

What transformation is applied to the function when the expression is multiplied by 1/3?

• Horizontal compression

• Vertical compression

• Horizontal stretch

• Vertical stretch

What is the effect of adding 2 to the x-variable in the function?

• Shift left by 2 units

• Shift right by 2 units

• Shift up by 2 units

• Shift down by 2 units