Question

Which function is represented by the graph?

f(x) = –|x| + 4
f(x) = –|x| – 4
f(x) = –|x + 4|
f(x) = –|x – 4|

Answer 1

try x=0 (y=-4) the first one is wrong
try x=4 (y= 0). the last one is correct(ignore the first)
4th is correct

Answer 2

the required function would be:

`f(x)=-|x-4|`

Explanation:

We have given four different functions and a graph we need to check which one options matches with the graph

We have parent function absolute function and 4 units shifted to right that means -4 should be there.

Hence, the required function would be:

`f(x)=-|x-4|`

Here x-intercept is 4.

Option 4th is correct.