anonymous
  • anonymous
The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola? (−4, 152) (4, −40) (−3, 107) (3, −37)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
i dont know what a parabola is
anonymous
  • anonymous
CGGURUMANJUNATH
  • CGGURUMANJUNATH
https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/finding-the-vertex-of-a-parabola-example

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anonymous
  • anonymous
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
DanJS
  • DanJS
you could complete the square to make the vertex equation form
anonymous
  • anonymous
ok i know how to complete the sqaure
anonymous
  • anonymous
8, 1\3
DanJS
  • DanJS
y = a(x-h)^2 + k vertex at (h,k)
anonymous
  • anonymous
huh?
anonymous
  • anonymous
ive never heard of that
anonymous
  • anonymous
this is so confusing
DanJS
  • DanJS
the video that was linked is good
anonymous
  • anonymous
ok ill watch it real quick brb
DanJS
  • DanJS
If you havent done anything else yet , just plug in the numbers to that
anonymous
  • anonymous
yea i dont get it
DanJS
  • DanJS
\[y = ax^2 + bx +c\] x coordinate of the vertex will be \[\frac{ -b }{ 2a }\]
DanJS
  • DanJS
b = -24 a = 3
anonymous
  • anonymous
so divide that?
DanJS
  • DanJS
yes, just calculate it, put in the , a and b, values
anonymous
  • anonymous
ok ill do that now
anonymous
  • anonymous
i got -8b\a
DanJS
  • DanJS
X - Coordinate of Vertex \[\frac{ -b }{ 2a } = \frac{ -(-24) }{ 2*3 } = \frac{ 24 }{ 6 } = 4\]
anonymous
  • anonymous
i have to leave in like 3 minutes should i just guess??
anonymous
  • anonymous
wait its b ???
DanJS
  • DanJS
The X coordinate for the vertex is -b/(2a) = 4 To get the Y-Coordinate for that X value, plug in x=4 into the original y = 3x^2 - 24x + 8
DanJS
  • DanJS
well you dont have to do that, if the X coordinate is 4, there is only one choice
anonymous
  • anonymous
i just turned it in, b is right :)
DanJS
  • DanJS
yea just have to remember the \[\frac{ -b }{ 2a }\] for the x-coordinate of the vertex

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