What is the equation of the parabola?

y = −one twelfthx2 − 2
y = one twelfthx2 − 2
y = −one twelfthx2 + 2
y = one twelfthx2 + 2

The answer to your question is    y = 12x + 2 from the choices it could be the last one because it is not 1/12.

Step-by-step explanation:

Data

From the graph get the vertex and the focus.

Also from the graph, we know it is a vertical parabola.

Vertex = (0, 2)

Focus = (0, 5)

Directrix    y = -1

From this data, we know that p = 3. P is the distance from the vertex to the focus or to the directrix.

Substitution

                   y - k = 4p(x - h)

                   y - 2 = 4(3)(x - 0)

Simplification

                  y - 2 = 12x

Result

                  y = 12x + 2

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478