The function f(t) = t2 + 6t − 20 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:Step-by-step explanation:Note that the equation should be f(t) = t^2 + 6t - 20A. Completing the squarecoefficient of the t term: 6divide it in half: 3square it: 3² add 3² to complete the square and subtract 3² to keep the equation balanced: f(t) = (t² + 6t + 3²) - 3² - 20f(t) = (t+3)² - 29. This is the equation in vertex form.:::::B. Vertex (-3, -29)The leading coefficient of the equation is +1. Since the leading coefficient is positive, the parabola opens upwards. Therefore, the vertex is a minimum. :::::The axis of symmetry is the vertical line passing through the vertex: x = -3