Question

PLEASE HELP WITH ALGEBRA AND SHOW WORK :) an explanation would be nice too because this topic confuses me :/

The function f(t) = t^2 + 4t − 14 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 it is a maximum or a minimum on the graph. How do you know?
Part C: Determine the axis of symmetry for f(t).

Answer 1

A.

`image`

B.

`image`

It's a minimum, becuase
`a=1>0`.

C.

The axis of symmetry is
`x=h`. So, in this case, it's
`x=-2`.