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Write a function based on the given parent function and transformation Please check photo

Write a function based on the given parent function and transformation Please check-example-1
User Victor L
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1 Answer

5 votes

SOLUTION:

Case: Function transformation

Method:

Step 1:

Parent function:


y=\sqrt[3]{x}

The graph:

Step 2:

Transformation: Shift 7 units to left


y=\sqrt[3]{(x+7)}

The graph:

Step 3:

The transformation: Stretch horizontally by a factor of 6


y=\sqrt[3]{((1)/(6)(x)+7)}

The graph:

Step 4:

Transformation : Reflex across the x-axis


y=-\sqrt{((1)/(6)(x)+7)}

The graph:

The purple line shows the reflection

Final answer:


y=-\sqrt[3]{((1)/(6)(x)+7)}

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User Shole
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