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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:
13
Step-by-step explanation:
(n-2) +(n-1) +n =3n-3=36
n=(36+3)/3=13
Consecutive integers are 11,12 and 13
G(x)=9
f(g(x))= 9(2)+9+2=29
Answer:

Step-by-step explanation:
STEP 1: Subtract 11x from 7x.
STEP 2: Subtract 10 from 12.
Answer:
i. D:All real numbers
ii.R:

iii. Y-int:

Step-by-step explanation:
The given function is

The domain of this function are the values of x that makes the function defined.
The absolute value function is defined for all real values.
The domain is all real numbers.
ii. The range refers to the values of y for which x is defined.

The vertex of this function is

The function is reflected in the x-axis.
The vertex is therefore the maximum point on the graph of the function.
The range is therefore;
Or
![(-\infty,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C2%5D)
iii. To find the y-intercept, we substitute

into the funtion.



The y-intercept is

The graph is shown in the attachment.