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Consider the function shown on the graph.

Consider the function shown on the graph.-example-1
User Justin Emlay
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1 Answer

16 votes
16 votes

Answer:

C.) y = 3(x - 3)(x - 7)

For the function:

  • x intercept: (3, 0), (7, 0)
  • vertex point: (5, -12)
  • point: (8, 15)

Writing equation:

y = a(x - h)² + k

15 = a(8 - 5)² - 12

15 = 9a - 12

9a = 15 + 12

9a = 27

a = 3

So the equation is:

y = 3(x - 5)² - 12

y = 3(x² - 10x + 25) - 12

y = 3x² - 30x + 63

y = 3(x - 3)(x - 7)

User Ctbrown
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