Answer:
B. Vertical Compression
Step-by-step explanation:
You've answered the question; However, I'll assist with the explanation;
Given
Original: [tex]y = 72\sqrt x[/tex]
Translated: [tex]y = 9\sqrt x[/tex]
Required
Determine the type of transformation applied to the original function
Observing both functions, we notice that [tex]\sqrt x[/tex] is a common factor;
This implies that the function was compressed or stretched along the y axis (vertically)
To determine if its vertical compression or stretch;
We have to divide the translated function by the original function;
[tex]Ratio = \frac{9\sqrt x}{72\sqrt x}[/tex]
[tex]Ratio = \frac{9}{72}[/tex]
[tex]Ratio = 0.125[/tex]
Because 0.125 < 1, then the transformation is a vertical compression
