Question

Which graph represents the function f(x)=-|x-2|-1? Please don’t guess.

Answer 1

it is the 3rd graph. because it is actually going to the right not the left and it goes down 1 and it faces down because of the negative in the front.

Answer 2

option C

Explanation:

`f(x)=-|x-2|-1`

The parent function of absolute value function is
`f(x)=|x|`

For the absolute value function we will get a V shaped graph

For -1 at the end the graph of parent function will be shifted 1 unit down.

We have negative sign at the beginning

`f(x)=-|x-2|-1`

For negative sign the graph will reflect across x axis

the graph becomes inverted V shape

for -2 with x , the graph will be shifted 2 units to the right.

So , from parent graph the graph will be translated 1 unit down and 2 units right. Also it is reflected across x axis to get the graph of

`f(x)=-|x-2|-1`

Third option graph is correct