Determine the equation of the graph and select the correct answer below.

a. y = (x + 3)2 − 2
b. y = (x − 3)2 − 2
c. y = (x + 3)2 + 2
d. y = (x − 3)2 + 2

Option C is correct

Step-by-step explanation:

The equation of parabola is given by:

where, (h, k) is the vertex and a is any constant value.

As per the statement:

From the given graph of parabola:

Vertex = (h, k) = (-3, 2)

Substitute in [1] we have;

                 .....[2]

Since, the graph of parabola cut at (0, 11)

Substitute this point in [2] we have;

⇒

Subtract 2 from both sides we have;

Divide both sides by 9 we have;

a = 1

⇒

therefore, the equation of the graph is,