1. ## Calculate f(-1)

I need help solving this one problem assigned for homework in my Algebra II HOnors class.

Let f(x)=ax^2+bx+c such that
f(0)=f(1)
f(2)=2f(1)
f(3)=16
Calculate f(-1)

I'm lost, and have no idea where to start. All I've been able to work out is that -a=b because

f(0)=f(1)

f(0)=a(0)^2+b(0)+c
f(0)=c

f(1)=a(1)^2+b(1)+c
f(1)=a+b+c

a+b+c=c
a+b=0
-a=b

2. Originally Posted by NoahSilva2
Let f(x)=ax^2+bx+c such that
f(0)=f(1)
f(2)=2f(1)
f(3)=16

Calculate f(-1)

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

http://www.freemathhelp.com/forum/announcement.php?f=33

3. Originally Posted by Subhotosh Khan

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

http://www.freemathhelp.com/forum/announcement.php?f=33
I'm asking for help...I don't have any thoughts. Or work. I need help solving for f(-1). f(0)=f(1), f(2)=2f(1), and f(3)= 16 are GIVEN. Hope that helps?

4. No, that doesn't help.

You demonstrated in your edited post that you DO have an idea where to start.

Now, move on to the next hint and do the same thing. You're almost there.

5. Originally Posted by tkhunny
No, that doesn't help.

You demonstrated in your edited post that you DO have an idea where to start.

Now, move on to the next hint and do the same thing. You're almost there.
​Figured it out, thank you

6. Good call. Come back, any time.