Question

I need a little help with this, I graphed it but I'mstill stuck.

Answer 1

Step 1:

Write the parent function

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

Step 2:

The function was reflected across the y-axis

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

Step 3:

Horizontal translation 5 units left

`y\text{ = }\sqrt[]{-x\text{ - 5}}`

Step 4:

A vertical stretch of 2

`y\text{ = 2}\sqrt[]{-x\text{ - 5}}`

Step 5:

Vertical translation 3 units up.

`y\text{ = 2}\sqrt[]{-x\text{ - 5}}\text{ + 3}`

Final answer

The transformation of the parent function is y-axis reflection, follow by horizontal translation to the left by 5 units and a vertical stretch of 2 units, and then a vertical translation of 3 units.

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