ANSWER
The new equation is:

EXPLANATION
The given parabola has equation,

This is the parent function.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
The new equation becomes:

Area = Length X Width
Perimeter = l(2) x W(2)
what are the measures of this rectangle?
A. f(1) = 1 + 3 = 4
b. f(6) = 2*6 = 12
Let small cups = S
Large cups = L
They bought a total of 8 cups, so S + L = 8
Rewrite as S = 8-L (1st equation)
Then you also have
$3S + $5L = $30 (2nd equation)
Replace the S in the second equation with the first equation:
$3(8-L) + $5L = $30
Simplify:
24 - 3L + 5L = 30
Combine like terms:
24+2L = 30
Subtract 24 from both sides:
2L = 6
Divide both sides by 2:
L = 3
They bought 3 large cups
Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)
Large = 3 cups, Small = 5 cups
To find the area of a trapezoid, we use the following formula:

In this formula a represents the area and b1 and b2 each represent a base of the trapezoid.
So, we have got the following information



Filling in the formula gives us:



Finally we have to divide both sides by 15.

Therefore, the height of the trapezoid is 10 meters.