Question

Transform the equation Shift y=5√x+5 horizontally, 5 units to the right and stretch by a factor of 4 what is the transformed equation?

Answer 1

Given the equation:

$y=5\sqrt[]{x}+5$

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:

$y=4(5\sqrt[]{x-5})+5$$y=20\sqrt[]{x-5}+5$