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a parabola passes through the points (2,8), (6,2), and (8,8). what is the x-coordinate of its vertex?
a) 4
b) 5
c) 7
d) cannot be determined

Respuesta :

facundo3141592

The x-value of the vertex of the given parabola is x = 5, so the correct option is b.

How to get the x-value of the vertex?

If we define the parabola by f(x), by looking at the table, we can read:

  • f(2) = 8
  • f(6) = 2
  • f(8) = 8

So, notice that:

f(2) = f(8).

Then the x-coordinate of the vertex is the midpoint between 2 and 8.

x = (2 + 8)/2 = 5

The x-value of the vertex of the given parabola is x = 5, so the correct option is b.

If you want to learn more about parabolas:

https://brainly.com/question/4061870

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