SOLUTION: 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. (6 points) Part B: Determi

Question 980730: 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. (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 by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Part A: Rewrite the function in vertex form by completing the square.
......recall that , and compare it to , you see that and ; so, =>=>=>
than we have

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph.
compare to vertex form of parabola , you see that and
so, the vertex is at:
(,)

Part C: Determine the axis of symmetry for

Every parabola has an axis of symmetry which is the line that runs down its 'center'. This line divides the graph into two perfect halves.
In the picture of on the left, the axis of symmetry is the line .

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SOLUTION: The function f(t) = t2 + 6t &#8722; 20 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points) Part B: Determi

SOLUTION: 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. (6 points) Part B: Determi