flowerboy200 flowerboy200
  • 09-07-2020
  • Mathematics
contestada

The vertex of the parabola below is at the point (-2, -1), and the point (-1, 1) is on the parabola. Write the equation of the parabola.

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sqdancefan
sqdancefan sqdancefan
  • 09-07-2020

Answer:

  y = 2(x +2)^2 -1

Step-by-step explanation:

The vertex form of the equation of a parabola is ...

  y = a(x -h)^2 +k . . . . . vertex (h, k), scale factor "a"

We know the vertex, so we can find the scale factor from the other point.

  1 = a(-1+2)^2 -1 = a -1

  2 = a . . . . . . add 1

The equation of the parabola is ...

  y = 2(x +2)^2 -1

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