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The function f(t)=t^2+12t-18 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work.

Part B:Determine the vertex and indicate whether its a maximum or minimum on the graph. How do you know?

Part C: Determine the axis of Symmetry

Verified Answer :

nobillionaireNobley

\(y= t^{2} +12t -18 \\ y+18=t^{2} +12t \\ y+18+36=t^{2} +12t+36 \\ y+54=(t+6)^{2} \\ y=(t+6)^{2} -54\)
\(f(t) = (t+6)^{2} -54\)
 

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