Respuesta :

Answer:

B

Step-by-step explanation:

f(x)= -3(x+1)^2 +2

>  -3,   Has to negative because its facing down

>(x+1) means it goes to the left 1 unit

> +2 at the end means it goes up by 2 units

The function of the graph is f(x)= -3(x+1)² +2

What is Graphing a function?

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

For example, the following graph represents the linear function f(x) = -x+ 2.

Take any point on this line, say, (-1, 3). Let us substitute (-1, 3) = (x, y) (i.e., x = -1 and y = 3) in the function f(x) = -x + 2 (note that it can be written as y = -x + 2). Then

3 = -(-1) + 2

3 = 1 + 2

3 = 3, thus, (-1, 3) satisfies the function.

as, seen from the given graph we can say that the corresponding function is

f(x)= -3(x+1)² +2

  • First, -3 represents the facing down
  • then, (x+1) shows left 1 unit
  • +2  shows the graph goes up by 2 units\

Learn more about graph here:

https://brainly.com/question/14375099

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