Question

Is it right

The question
The function f(t) = t2 + 4t − 14 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for f(t). (2 points)

Answer 1

f(t) = t2 + 4t − 14

y + 14 + 4 = ( t2 + 4t +4)

y + 18 = ( t + 2)^2

so the vertex of the parabola is ( -2 , -18)

the axis of symmetry is y = -18