anonymous
  • anonymous
Suppose a parabola has vertex (5, –3) and also passes through the point (6, 1). Write the equation of the parabola in vertex form. A. y = (x – 5)2 – 3 B. y = 4(x – 5)2 – 3 C. y = 4(x + 5)2 – 3 D. y = 4(x – 5)2 + 3
Mathematics
jamiebookeater
  • jamiebookeater
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ParthKohli
  • ParthKohli
Play smart.
ParthKohli
  • ParthKohli
Eliminate the choices that DON'T have the vertex = (5,-3).
anonymous
  • anonymous
i know its either a or b but from their i dont know what to do.

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anonymous
  • anonymous
just kidding i thought it was -5. so it has to be c since thats the only one with +5
ParthKohli
  • ParthKohli
You're perfectly right. Now check if (6,1) is also a point in both the choices.
ParthKohli
  • ParthKohli
No, it's A or B.
anonymous
  • anonymous
a and b both have -5 its +5
ParthKohli
  • ParthKohli
The standard form is this:\[\rm y = a(x - h)^2 + k\](h,k) is the vertex.
ParthKohli
  • ParthKohli
It's either A or B. Get it now?
anonymous
  • anonymous
yeah i get it now. but how do i check if (6,1) is also a point?
ParthKohli
  • ParthKohli
You plug in 6 for x and 1 for y, then check if both sides are equal.

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