Question

Which function is represented by this graph?

Answer 1

Option B.

Explanation:

From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.

The vertex form of an absolute function is

`y=a|x-h|+k`

where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.

`y=a|x-(7)|+(-3)`

`y=a|x-7|-3` ...(1)

It passes through (4,0).

`0=a|4-7|-3`

`3=3a`

`1=a`

Put this in (1).

`y=1|x-7|-3`

`y=|x-7|-3`

Therefore, the correct option is B.