Question

Wouleu=47495/2 The graph of y = va is given below: 4 3 2 2 -5 -3 -2 - 2 3 Find a formula for each of the transformations whose graphs are given below. Recall that square root is entered as sqrt. a) 5 3 2 7 54 -3 -2 - 2. 2 5+ y = b) 3 2 43 2 2 4 2 -5 Question Help:

Answer 1

The function of the graph is:

`y=\sqrt[]{x}`

a)

The graph of the function given is the reflection of the graph of sqrt x along the X axis.

To get the reflected graph of the function across the X axis is obtained by multiplying the function by -1.

So, the transformation of the function of the graph is,

`y=-\sqrt[]{x}`

b)

The given graph is the reflection of the graph of sqrt x about the y axis.

Replacing x be -x results in the graph, which is reflected across the Y axis.

So, the transformation of the function of the given graph is,

`y=\sqrt[]{-x}`