Question

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

Answer 1

9514 1404 393

Answer:

  y = -1/12x² +2

Step-by-step explanation:

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

  $y=\dfrac{1}{4p}(x-h)^2+k$

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 ...

  $\boxed{y=-\dfrac{1}{12}x^2+2}$