Question

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

Answer 1

`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`