Verified Answer :

bdog7

The answer is (2,-5)

Answer:

Option B

Step-by-step explanation:

Given: Function    \(f(x)=6\begin{vmatrix}x-2\end{vmatrix}-5\)

To find: Which point is the vertex of the graph defined by f(x)

Solution : The standard form of absolute function is

\(F(x)=a\begin{vmatrix}x-h\end{vmatrix}+k\)

where a is scalar factor and (h,k) is the vertex

Comparing f(x) with standard form a=6 and (h,k)=(2,-5)

Therefore, (2,-5)  is the vertex of the graph of  \(f(x)=6\begin{vmatrix}x-2\end{vmatrix}-5\).(Refer the attached graph)

Hence, option B is correct

View image DodieZollner

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