(30 POINTS) Which function is represented by this graph?



A.
f(x) = -|x − 1| + 8
B.
f(x) = -|x − 8| + 1
C.
f(x) = -|x + 8| − 1
D.
f(x) = -|x + 1| − 8

Answer:

A.

Step-by-step explanation:

x-1 moves the graph to the right 1 and + 8 moves it up 8

this puts the vertex at (1,8) and the negative infront  of the x makes the graph point down like it is.

The function represented by the graph is : f(x)=-|x-1|+8

The correct option is (A).

A graph is a mathematical diagram which shows the relationship between two or more sets of numbers or measurements.

If we look at the graph, only the portion x-1 makes to move the graph to the right 1 and moves it up 8 which makes the coordinate (1,8).

Also, the negative at the front of x makes graph to move downwards.

Hence, the graph represented the function : f(x)=-|x-1|+8

learn more about graph here:

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