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Svetlanka [38]
3 years ago
10

What function is vertically stretched by a factor of 3 and translated 4 units right from the parent function

Mathematics
2 answers:
lyudmila [28]3 years ago
5 0

Answer:

Option B is right

Step-by-step explanation:

Consider the parent function

y=log_5 x

When we stretch by a factor of 3 we get the transformed funciton as

y=3log_5 x

Next is horizontal shift to the right by 4 units

This will be done when x is replaced by x-4

Hence we get correct answer as

y=3log_5 (x-4)

Option B is right

Neporo4naja [7]3 years ago
4 0
<span>The <u>correct answer</u> is:

B) 3log</span>₅<span>(x-4).

Explanation<span>:

To stretch a function by a factor of 3, we multiply the function by 3. This eliminates A and D.

To translate a function 4 units right, we add -4 to the variable before anything else is applied to it; this eliminates C.

In choice B, the log function is multiplied by 3, which gives us our vertical stretch; and the x is subtracted by 4 before anything else is applied to it, so it is translated 4 units right.</span></span>
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