Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

Step-by-step explanation:

Given is a function

Since leading term is positive,

the parabola is open up.

Let us write this in vertex form after completing the square

Hence we get vertex= (-5/2,-1/4)

Since this is a parabola open up we have the minimum point is only one at x=-5/2

So we have the function decreasing for x<-2.5 and increasing for x>-2.5

Decreases in

Increases in

i would say c is the best answer, hope it's right!

good luck! =)

cutie~

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!