SOLUTION: 2) If f(t)=2t squared minus 4t minus 1,find a) f(2) Answer: Show your work here: b) f(-1) Answer: Show your work here:

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 2) If f(t)=2t squared minus 4t minus 1,find a) f(2) Answer: Show your work here: b) f(-1) Answer: Show your work here:       Log On


   

Question 120419This question is from textbook college algebra
: 2) If f(t)=2t squared minus 4t minus 1,find
a) f(2)
Answer:
Show your work here:

b) f(-1)
Answer:
Show your work here:
This question is from textbook college algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

a)

Let's evaluate f%282%29


f%28x%29=2t%5E2-4t-1 Start with the given function.


f%282%29=2%282%29%5E2-4%282%29-1 Plug in t=2. In other words, replace each t with 2.


f%282%29=2%284%29-4%282%29-1 Evaluate %282%29%5E2 to get 4.


f%282%29=%2B8-4%282%29-1 Multiply 2 and 4 to get 8


f%282%29=%2B8-8-1 Multiply -4 and 2 to get -8


f%282%29=-1 Now combine like terms







b)


Let's evaluate f%28-1%29


f%28x%29=2t%5E2-4t-1 Start with the given function.


f%28-1%29=2%28-1%29%5E2-4%28-1%29-1 Plug in t=-1. In other words, replace each t with -1.


f%28-1%29=2%281%29-4%28-1%29-1 Evaluate %28-1%29%5E2 to get 1.


f%28-1%29=%2B2-4%28-1%29-1 Multiply 2 and 1 to get 2


f%28-1%29=%2B2%2B4-1 Multiply -4 and -1 to get 4


f%28-1%29=5 Now combine like terms