Question

Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5?

A.) (6, 5)
B.) (2, -5)
C.) (0, 0)
D.) (6, -2)

Answer 1

The answer is (2,-5)

Answer 2

Option B

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