Question

what is the least possible value of (x+2)^2 if -3 < or equal to x <0

Answer 1

@calculusfunctions help me with this one now plz

Answer 2

Least possible value means minimum value. What is the minimum value of y = (x + 2)²?

Answer 3

dy/dx=2(x+2)

Answer 4

the least value is 0, and this is when x = -2

Answer 5

Sure but you didn't need to do that! If

y = a(x - h)² + k then the minimum value is k when x = h if a > 0 as @sirm3d correctly said but she should not give out answers!

Answer 6

the picture is still not clear in my mind :(

Answer 7

If you understand the derivatives method better, then fine. Use that! So if dy/dx = 0, then
x = ?

Answer 8

x= -2

Answer 9

Yes! Now do you know how to use the first or second derivative tests to verify if this is a max or min?

Answer 10

yes i do :)

Answer 11

OK then go ahead!