Question

Which single transformation can be applied to the graph of y = 72
`√(x)` to produce the graph of y = 9
`√(x)`?

A.vertical translation
xxB.vertical compression
C.horizontal translation
D.horizontal compression
its b

Answer 1

B

Explanation:

Answer 2

B. Vertical Compression

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 = (9\sqrt x)/(72\sqrt x)`

`Ratio = (9)/(72)`

`Ratio = 0.125`

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