Here we are given the x intercepts at x=3 and x=9
So let us try to make quadratic equation for this using given information.
We have factors in the form (x-a)(x-b)
where a and b are x intercepts given to us.
So rewriting in factored form:

Now let us simplify it:

Let us find the vertex now,
For a quadratic equation of the form:

For x coordinate , we have the formula,

So using this formula for our equation,

So x = 6
Answer: The x-coordinate of the parabola's vertex is 6.
F(x) = 5(-3x) ^2 - (-3x) + 1
f(x) = -8x ^2 + 3x + 1
f(x) = -8x ^3 + 3x
The value of
is 
Explanation:
The function
is given by

The function
is given by

To determine the value of
, let us first substitute the value of
.
Thus, we get,

Now, substituting for
in the function
, we get,

Simplifying, the expression, we get,

Multiplying the term within the bracket, we have,

Thus, the value of
is 
Hence, the value of
represents the total amount of money that Barrett earns for working x hours.
A possible scale for the drawing can be
1 inches : 3 feet.
2 inches : 6 feet
or 3 inches to 9 feet
or 0.5 inches to 1.5 feet.
Hope this helps :)