Given the equation:
[tex]y=5\sqrt[]{x}+5[/tex]
Let's transform the equation above.
1. A horizontal shift of 5 units the the right:
y = (5√x -5) + 5
y = (5√x -5) + 5
2. A stretch by a factor of 4:
Here a vertical stretch occcured.
y = 4(5√x -5) + 5
y = 4(5√x - 5) + 5
Therefore, the transformed equation is:
[tex]y=4(5\sqrt[]{x-5})+5[/tex][tex]y=20\sqrt[]{x-5}+5[/tex]
