Quadratic Functions and Their Inverse

What is the inverse function of a quadratic (x²)?

• A square root function

• 2x

• Another quadratic

• A linear function

Find the inverse of f(x) = -3x²+5

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• take the square root of both sides

• Switch the x and y

• subtract 5 from both sides

• re-write using inverse notation, determine if you need the positive or negative square root

• add 3 to both sides

The inverse of a quadric function is

• rational

• linear

• square root

• cubic

Determine the inverse for the function:

P (x) = 2x² + 1

Find the inverse of f(x) = x² - 5

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Choose all that are correct. Which statements about inverses are correct?

• The inverse of a square root is a quadratic with a domain restriction.

Use the horizontal line test to determine if the function has an inverse function.

• yes

• no

Are the graphs inverses?

• yes

• no