lulubj
  • lulubj
The vertex of the parabola is at (-4,-1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation? A. 6 B.-6 C.-3 D.3
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The vertex equation for a parabola with vertex (h, k) is \[y = a(x-h)^2+k\]
anonymous
  • anonymous
Using the given vertex (-4, -1), \[y = a(x+4)^2-1\]
anonymous
  • anonymous
Do you agree?

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anonymous
  • anonymous
Plug in (2, 0) into the parabola equation to solve for a.
lulubj
  • lulubj
Thanks
lulubj
  • lulubj
So would it be 6?
anonymous
  • anonymous
\[0 = a(2+4)^2-1 = 36a - 1\]
anonymous
  • anonymous
\[36a = 1\]

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