Question

PLEASE HELP!! Below is the graph of f(x)=3log10x. How would you describe the graph of g(x)=9log10x?

Answer 1

It would be a vertical stretch by a factor of 3. Letter B
For example: when x= 10 in f(x) y = 3 and in g(x) y = 9

Answer 2

Answer:

Option B.

Step-by-step explanation:

Function $f(x)=3log_{10}x$ has been graphed in the figure attached.

We have to find describe the graph formed by the function  $g(x)=9log_{10}x$

To check this we will plug in the value x = 100 in both the functions

$f(100)=3log_{10}100$

f(100) = 3×2 = 6

$g(100)=9log_{10}100$

g(100) = 18

$\frac{g(100)}{f(100)}=\frac{18}{6}=3$

Therefore, for each value of x, function g(x) will be stretched vertically by a factor of 3.

Option B will be the answer.