Answer:

Step-by-step explanation:

9514 1404 393
Answer:
- a = -2/3, b = 8, c = -24
- y-intercept: (0, -24)
- x = -b/(2a) = -8/(2(-2/3)) = 8(4/3)
- x = 6
- DOWN
- Max: (6, 0)
- Vertex: (6, 0)
- Domain: {x | x ∈ ℝ}
- Range: {x | x ≤ 0}
Step-by-step explanation:
To find a, b, c, compare the given function to ...
f(x) = ax² +bx +c
You will see that ...
The y-intercept is the function value for x=0. It is the constant term:
y-intercept = f(0) = -24
Use the above values of a, b to find the line of symmetry.

Per the calculation, the line of symmetry is ...
x = 6
The negative leading coefficient tells you the parabola opens DOWN.
Because it opens down, the vertex at (6, 0) is a Maximum.
As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.
The range is all values below the vertex (including the vertex), so is ...
x ≤ 0
Answer:
a2=12 (the second term of the sequence is 12)
Step-by-step explanation:
a5=324
If the term to term rule is multiply by any number, we deal with geometrical sequence
The formula you should use is an= a1*r^(n-1) where n is the number of the term which we know. In our case we know
a5, so use 5 instead of n
Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)
a5=324
324= a1*3^4
324=a1*81
a1=4 (We find the first term of sequence, because having it you can easily search for every term )
Return to the formula an= a1*r^n-1
Now search for the second term using 2 instead of n in the formula
a2= a1*r^1
a2=a1*r, a1=4, r=3
a2=4*3=12
Answer: 24
Step-by-step explanation: thanks
Answer:
3
Step-by-step explanation: