Question

Which function is represented by the graph?

f(x) = −|x − 3| + 4
f(x) = −|x + 3| + 4
f(x) = −|x − 4| + 3
f(x) = −|x + 4| + 3

Answer 1

Step-by-step explanation:

It is f(x) = −|x + 4| + 3 because the +4 in the absolute value sign moves the graph 4 spots to the left and the +3 moves the graph 3 spots up.

Answer 2

f(x) = −|x + 4| + 3

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