Questions: The graph of y=√x is shown below: Find a formula for each of the following transformations. a) y= b) y=

Solution Steps

The original function given is \( y = \sqrt{x} \).

In part (a), the graph is reflected over the y-axis. This transformation changes \( x \) to \( -x \).

The transformed function for part (a) is \( y = \sqrt{-x} \).

In part (b), the graph is reflected over the x-axis. This transformation changes \( y \) to \( -y \).

The transformed function for part (b) is \( y = -\sqrt{x} \).

Final Answer