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iren [92.7K]
3 years ago
12

What is the first step when rewriting y=6x^2+18x+14 in the form y=a(x-h)^2+k?

Mathematics
1 answer:
Grace [21]3 years ago
7 0
<h3>Answer:</h3>

Factor 6 from the first two terms.

<h3>Step-by-step explanation:</h3>

By factoring out "a", you can better see what "h" needs to be.

  1. y = 6(x^2 +3x) +14 . . . . 6 factored from first 2 terms
  2. add the square of half the x-coefficient inside parentheses; add the opposite outside: y = 6(x^2 +3x +2.25) +14 -6(2.25)
  3. rewrite as a square; combine the constants: y = 6(x+1.5)^2 +0.5

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