Question

The graph shows a parabola and its focus. Write the equation of the parabola in vertex form.​

Parabola (0, 2)

Focus (0, -1)

Answer 1

9514 1404 393

Answer:

y = -1/12x² +2

Explanation:

For vertex (h, k) and vertex-to-focus distance p, the vertex form equation is ...

`y=(1)/(4p)(x-h)^2+k`

Here, the vertex-to-focus distance is -1-2 = -3 units. The vertex is (h, k) = (0, 2). So, the equation of the parabola is ...

`\boxed{y=-(1)/(12)x^2+2}`