Mathematics: 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).

With algebra and show work : ) an explanation would

banuelos90016

13.03.2022

$f(t) = t^2 + 4t-14\\ f(t)=t^2+4t+4-18\\ f(t)=(t+2)^2-18$

$f(x)=(x-h)^2+k \Rightarrow \text{vertex}=(h,k)\\\\ f(t)=(t+2)^2-18 \Rightarrow \text{vertex}=(-2,-18)$

It's a minimum, becuase a=10 .

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

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cierrajo2020

14.03.2023

Step-by-step explanation:

x + 2x = 3x

3x + 2x = 5x

Hope this helped

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