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Question

Find the vertex of the parabola y=3x2+12x12
  1. (−2,24)
  2. (−24,−2)
  3. (−2,−24)
  4. (2,−24)


Solution

The correct option is C (−2,−24)
Here, a=3 and b=12. So, the x -coordinate of the vertex is:
122×3=2
Substituting in the original equation to get the y -coordinate, we get:
y=3(2)2+12(2)12
= -24
So, the vertex of the parabola is at (−2,−24).

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