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)

Option B

Step-by-step explanation:

Given: Function    

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

Solution : The standard form of absolute function is

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  .(Refer the attached graph)

Hence, option B is correct

step-by-step explanation:

options

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.