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The function f(t) = t2 + 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 it is a
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Mar 21, 2017
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The function f(t) = t2 + 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 it is a maximum or a minimum on the graph. How do you know?
Part C: Determine the axis of symmetry for f(t).
Mathematics
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Part A: f ( t ) = t² + 12 t - 19 =
= ( t² + 12 t + 36 ) - 36 - 18 =
( t + 6 )² - 54
( the vertex form )
Part B : The vertex :
( - 6, - 54 )
. This is the minimum, because the parabola is open up ( a > 0 ).
Part C : The axis of symmetry:
t = - 6
Nahsivar
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Mar 25, 2017
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