Question

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

Answer 1

Option B.

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

`(g(100))/(f(100))=(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.

Answer 2

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