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katovenus [111]
3 years ago
7

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

Mathematics
1 answer:
finlep [7]3 years ago
7 0

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}

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