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).

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

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).

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

i have all the parts ecvept for a
So you want to complete the square?
If 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)

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

But 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
|dw:1443909240041:dw|
so whats the ansswer and what do you want me to factor?
\[(t^2+4t+4)-14-4=0\] factor \[(t^2+4t+4)\]
(t+2)^2 (factor)
Right so you have \[(t+2)^2-18\]
\[(t^2+4t)-14\qquad \qquad c=\left(\frac{4}{2}\right)^2 = (\color{red}{2})^2=4 \]\[(t^2+4t+4)-14-4\]\[=(t+\color{red}{2})^2-18\]
The 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 \[b^2-4ac<0\] 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.
The formula for completing the square: \(\left(x\pm \dfrac{b}{2}\right)^2 \pm b^2\pm c\)
I believe that's it...
THANKS EVERYBODY: )))))

Not the answer you are looking for?

Search for more explanations.

Ask your own question