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  • 25-10-2019
  • Mathematics
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3. What is the x-coordinate of the vertex of y = 2(x + 8)(x - 10)?

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sqdancefan
sqdancefan sqdancefan
  • 25-10-2019

Answer:

  x = 1

Step-by-step explanation:

The x-intercepts of the graph are the values of x where the factors are zero:

  x = -8

  x = 10

These are located symmetrically about the (vertical) line of symmetry, which passes through the vertex. In other words, the average of these two values of x is the x-coordinate of the vertex:

  (-8 +10)/2 = 2/2 = 1

The x-coordinate of the vertex is x=1.

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