SOLUTION:
Case: Function transformation
Method:
Step 1:
Parent function:
[tex]y=\sqrt[3]{x}[/tex]
The graph:
Step 2:
Transformation: Shift 7 units to left
[tex]y=\sqrt[3]{(x+7)}[/tex]
The graph:
Step 3:
The transformation: Stretch horizontally by a factor of 6
[tex]y=\sqrt[3]{(\frac{1}{6}(x)+7)}[/tex]
The graph:
Step 4:
Transformation : Reflex across the x-axis
[tex]y=-\sqrt{(\frac{1}{6}(x)+7)}[/tex]
The graph:
The purple line shows the reflection
Final answer:
[tex]y=-\sqrt[3]{(\frac{1}{6}(x)+7)}[/tex]
