## anonymous one year ago Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 1 - (x - 6)^2 How would I solve this.

1. misty1212

HI!!

2. misty1212

do you recognize it as a parabola?

3. anonymous

Hello, again.

4. anonymous

Yes.

5. misty1212

open up or down??

6. anonymous

Up

7. misty1212

hmmm

8. misty1212

$f(x)=-(x-6)^2+1$

9. anonymous

Oops, that's not what I graphed.

10. misty1212

try it you will see it opens down because the leading coefficient it negative

11. anonymous

Yes, I forgot about the negative.

12. anonymous

Alright, I have graphed it.

13. misty1212

you can see that it has a maximum when x = 6 it is increasing from $$-\infty$$ to $$6$$ and decreasing after that

14. anonymous

So, increasing x<6, decreasing x>6

15. misty1212

yes

16. anonymous

Thank you, Misty. You're very helpful.