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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?

Transform the equation Shift y=5√x+5 horizontally, 5 units to the right and stretch-example-1
User Read Q
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1 Answer

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9 votes

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

User Hzxu
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