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help_people
 one year ago
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.
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).
help_people
 one year ago
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. 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).

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help_people
 one year ago
Best ResponseYou've already chosen the best response.0i have all the parts ecvept for a

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1So you want to complete the square?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1If you have \[x^2+ax=0\] we can do the following \[x^2+\frac{ 2ax }{ 2 } + \left( \frac{ a }{ 2 } \right)^2\left( \frac{ a }{ 2 } \right)^2=0\] (complete the square)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1But don't forget about third term, you just add that, so I'll show what I mean by starting it off dw:1443909088007:dw now you can factor

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443909240041:dw

help_people
 one year ago
Best ResponseYou've already chosen the best response.0so whats the ansswer and what do you want me to factor?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1\[(t^2+4t+4)144=0\] factor \[(t^2+4t+4)\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Right so you have \[(t+2)^218\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2\[(t^2+4t)14\qquad \qquad c=\left(\frac{4}{2}\right)^2 = (\color{red}{2})^2=4 \]\[(t^2+4t+4)144\]\[=(t+\color{red}{2})^218\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1The process above is what is called completing the square, we often use it if we are unable to factor what we have, to check if something if factorable we check the discriminant \[b^24ac<0\] see if it's less then 0 it means we cannot factor and have to use complete the square or another method such as quadratic formula.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2The formula for completing the square: \(\left(x\pm \dfrac{b}{2}\right)^2 \pm b^2\pm c\)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2I believe that's it...

help_people
 one year ago
Best ResponseYou've already chosen the best response.0THANKS EVERYBODY: )))))
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