The pH of a solution is a measure of how acidic it is. The greater the acidity, the lower the pH. The function f(x) = −log x gives the pH of a solution, where x is the concentration of hydrogen ions, in moles per liter.

The graph of f(x) = −log x is________________of the graph of g(x)=log x

answer options:

a: vertical translation (not correct answer)
b: horizontal translation
c: reflection in the x-axis
d: reflection in the y-axis

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Аноним Аноним · Answer 1 · 2019-07-31T20:33:02+02:00

Answer:

c. a reflection in the x-axis.

Step-by-step explanation:

All values of log x are made negative by the transformation so it is a reflection in the x axis.

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Yogeshkumari Yogeshkumari · Answer 2 · 2022-07-14T14:53:07+02:00

The graph of [tex]f(x) =-log x[/tex] is the reflection in the x-axis of the graph of [tex]g(x)=log x[/tex].

" Graph is defined as a pictorial representation of the relation between the variables in the coordinate plane along x-axis and y-axis."

According to the question,

Given function on the graph,

[tex]f(x) =-log x[/tex]

[tex]g(x)=log x[/tex]

[tex]'x'[/tex] represents the concentration of hydrogen ions, in moles per liter.

value of [tex]'x'[/tex] remain the same in both cases.

[tex]f(x)[/tex] value is negative.

[tex]g(x)[/tex] value is positive.

The graph of [tex]f(x)[/tex] lying in the first quadrant and the graph of [tex]g(x)[/tex] lying in the fourth quadrant.

Therefore, the graph of [tex]f(x)[/tex] is the reflection in the x-axis of the graph of [tex]g(x)[/tex].

Hence, Option(C) is the correct answer.

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