Answer:
f(x) = −|x + 4| + 3
Step-by-step explanation:
since, the value of the function at x=0 is -1
so, we will check which functions gives the same value
f(x) = −|x − 3| + 4 at x=0 it gives 1
f(x) = −|x + 3| + 4 at x=0 it also gives 1
f(x) = −|x − 4| + 3 at x=0 it gives -1
f(x) = −|x + 4| + 3 at x=0 it also gives -1
so, we have discarded first two options
Now at x=4 function gives negative value
f(x) = −|x − 4| + 3 at x=4 it gives 3
f(x) = −|x + 4| + 3 whereas at x=4 it gives -5
Hence, the function represented by the graph is:
f(x) = −|x + 4| + 3
