Hey!
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Formula's:
x_v = -b/2a
y_v = ax² + bx + c
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Parabola Params:
a = -1
b = 12
c = 4
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Solve for [tex]x_{v}[/tex]
[tex]x_{v} = \frac{-b}{2a}[/tex]
[tex]x_{v} = \frac{-12}{2(-1)}[/tex]
[tex]x_{v} = -6[/tex]
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Solve for [tex]y_{v}[/tex]
Use -6 for [tex]x_{v}[/tex]
[tex]y_{v} = -6^2 + 12(6) - 4\\[/tex]
[tex]y_{v} = -36 + 72 - 4[/tex]
[tex]y_{v} = 32[/tex]
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Answer:
(6, 32)
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Hope This Helped! Good Luck!