Which function does the graph represent? Of(x) = (x - 2)2 + 3
Of(x) = -(x - 2)2 + 3
Of(x) = (x + 2)2 + 3
O f(x) = -(x + 2)2 + 3

The function which represents the graph is:

Hence, option  B is correct.

The graph is also attached.

Step-by-step explanation:

From the graph, it is clear that:

The vertex = (2, 3)

The y-intercept = (0, -1)

Let us check the equation

Determining the y-intercept:

The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in teh equation

Thus,

The point representing the y-intercept is:  (0, -1)

Determining the vertex:

The vertex of an up-down facing parabola of the form ax² + bx + c is:

As the equation is

Rewriting the equation in the form ax² + bx + c:

The Parabola params are:

Thus,

Now plug in in the equation to find

Therefore, the vertex of the equation is:  (2, 3)

Hence, the function which represents the graph is:

Hence, option  B is correct.

The graph is also attached.

a

step-by-step explanation: