Square Root and Quadratic Inverses

Are the blue and red graphs inverse functions?

• Yes, the functions reflect over y = x

• No, they do not reflect over the x - axis.

• No way to tell from a graph

The RED function is a square root.

Is the BLUE function the inverse?

• Yes, they are inverses.

• No, they are NOT inverses.

• Not enough information.

The BLUE function is the original.

Is the GREEN function the inverse?

• Yes, they are inverses.

• No, they are NOT inverses.

• There is not enough information.

The BLUE function is the original.

Is the PURPLE function the inverse?

• Yes, they are inverses.

• No, they are NOT inverses.

• There is not enough information.

2x²= 30

• x= √5

• x= √30

• x= √15

• x= ±5

Which parent function matches the graph?

• y = |x|

• y = ∛(x)

• y = x²

• y = a⋅b^x

Are the graphs inverses?

• yes

• no

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

• A square root function

• 2x

• Another quadratic

• A linear function

• Switch the x and y

• subtract 5 from both sides

• take the square root of both sides

• add 3 to both sides

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