Answer: The correct option is 4.
Explanation:
The given equation is,
[tex]y=-|x|+1[/tex]
This is a form of a modulus function, therefore shape of graph is V.
The graph of |x| is a upward v-shaped graph lies on origin.
[tex]f(x)=|x+a|+b[/tex]
Where a represents horizontal shift and b represents vertical shift.
If a>0, then graph of |x| shifts left side. If a<0, then graph of |x| shifts right side.
If b>0, then graph of |x| shifts upward. If b<0, then graph of |x| shifts right downward.
In the given function -|x| means reflection along the x-axis and addition of 1 means the graph will shift in upward direction as shown in below figure.
The other way to choose the correct option is, find the y-intercept.
Putting x=0 in given equation we get y=1. So, the y intercepts is (0,1) which is sown in last figure only.
Therefore, the option 4 is correct.
