Question

This is algebra 2 I’m confused a little bit, I remember the format but it’s a little wonky I guess!

Answer 1

1)

Given:

The objective is to find the transformation of the graph which contians the equation y = √x.

Explanation:

The graph of the equation y = √x is,

1. a)

First, rotate the graph of the function around x axis by multiplying the whole function by (-1).

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

By moving 2 units to the left, the transformation will be,

$y=-\sqrt[]{x+2}$

Further transformation of 1 unit to the down side, the equation will be,

$y=-(\sqrt[]{x+2}+1)$

Hence, the required equation of transformation is obtained.

1. b)

First, rotate the graph of the function around y axis by multiplying only the x values of the function by (-1).

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

Further transformation of 3 units to the right side, the equation will be,

$y=\sqrt[]{-x+3}$

Hence, the required equation of transformation is obtained.