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

It’s the forth one

The answer is -|x-4|.

Answer 2

Answer:y=-|x-4|

Explanation:

we know the graph of y=|x| touches at x=0 and opens upward towards y axis

but this graph is facing downwards therefore it should be of form

y=-|x|

but it touches the x axis at x=4

therefore the graph is represented by

y=-|x-4|

4 is added inside the mod because it intersect x axis at x=4

The graph would be y=-|x-4|+1 if it shifts 1 unit upwards.