KJ4UTS
  • KJ4UTS
Which of the following is the equation of the parabola having vertex (-2,4) and passing through the point (1,1)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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KJ4UTS
  • KJ4UTS
anonymous
  • anonymous
Standard form:\[ y = a(x - h)^2 + k\] Where \((h, k)\) is the vertex.
KJ4UTS
  • KJ4UTS
@Operand what is a?

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KJ4UTS
  • KJ4UTS
So would that make it y=-(x+2)^2+4
anonymous
  • anonymous
You solve for \(a\) by plugging in \((x, y)\), in your case, x is 1, and y is 1.
anonymous
  • anonymous
So plugging in what we know: \[1 = a(1 - (-2))^2 + 4\] Solve for \(a\).
KJ4UTS
  • KJ4UTS
a=1?
anonymous
  • anonymous
Nope. Hint: \(a\) is a fraction.
KJ4UTS
  • KJ4UTS
-1/3
anonymous
  • anonymous
Correct.
anonymous
  • anonymous
You now know your answer. Just input, the vertex, and \(a\) into the standard form.
KJ4UTS
  • KJ4UTS
Oh ok so the answer would be y=-1/3(x+2)^2+4 Thank you for your help :)
anonymous
  • anonymous
You are welcome.

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