Question

Which function is represented by the graph?

O f(x) = -1x - 3+ 4
Of(x) = -1x + 3 + 4
Of(x) = -1x - 4 + 3
O f(x) = -x + 4 + 3

Answer 1

Of(x)=-1x-4+3 is the answer

Answer 2

The equation of the graph is f(x) = -1|x + 4| + 3

How to determine the equation of the function?

The graph represents an absolute value function

The equation of an absolute value function is represented as:

y = a|x - h| + k

Where:

Vertex = (h,k)

From the graph, we have:

(h,k) = (-4,3)

So,we have:

y = a|x - (-4)| + 3

Expand

y = a|x + 4| + 3

The graph is opens down.

This means that a < 0

Assume a = -1, the equation becomes

y = -1|x + 4| + 3

Express as a function

f(x) = -1|x + 4| + 3

Hence, the equation of the graph is f(x) = -1|x + 4| + 3

Read more about absolute value graphs at:

https://brainly.com/question/3381225