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Blababa [14]
2 years ago
12

Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.

Mathematics
1 answer:
-BARSIC- [3]2 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

  • (x - 3)(x + 8) = 0
  • x - 3 = 0 or x + 8 = 0
  • x = 3 or x = - 8

a) x-intercepts are

  • 3 and - 8

b) midpoint of x-intercepts is

  • (3 - 8)/2 = - 5/2 = - 2.5

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

  • (-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25

d) f(- 2.5) = - 30.25

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