Question

Which single transformation can be applied to the graph of y = 72 la1" title="\sqrt{x}" alt="\sqrt{x}" align="absmiddle" class="latex-formula"> to produce the graph of y = 9 $\sqrt{x}$?
A.vertical translation
xxB.vertical compression
C.horizontal translation
D.horizontal compression
its b

Answer 1

Answer:

B. Vertical Compression

Step-by-step explanation:

You've answered the question; However, I'll assist with the explanation;

Given

Original: $y = 72\sqrt x$

Translated: $y = 9\sqrt x$

Required

Determine the type of transformation applied to the original function

Observing both functions, we notice that $\sqrt x$ 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;

$Ratio = \frac{9\sqrt x}{72\sqrt x}$

$Ratio = \frac{9}{72}$

$Ratio = 0.125$

Because 0.125 < 1, then the transformation is a vertical compression