Inverse of quadratic equation with constraint

The video tutorial covers the graph of the quadratic function 3x^2 - 4, its transformations, and the concept of inverse functions. It explains why quadratics are not one-to-one functions and how to apply restrictions to make them invertible. The tutorial provides a step-by-step guide to finding the inverse of a quadratic function and discusses the importance of choosing the correct inverse based on domain restrictions.

What transformation is applied to the graph of 3x^2 - 4?

• Horizontal stretch of 3

• Reflection over the x-axis

• Vertical stretch of 3

• Shift up by 4

Why is the inverse of a quadratic function not a function?

• It has no real roots

• It fails the vertical line test

• It is not one-to-one

• It is not continuous

Which function is an example of a one-to-one function?

• x^2

• Cube root of x

• x^3

• Absolute value of x

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

• Horizontal line test

• Vertical line test

• Slope test

• Derivative test

When finding the inverse of a quadratic function, why must we choose either the positive or negative square root?

• To ensure the inverse is a function

• To simplify the equation

• To make the graph symmetrical

• To pass the vertical line test