The sign of the term in x^2 is negative so the graph will open downwards.
when x = 0 y = 1
The coordinates of the vertex are (0,1)
the maximum value of the function is 1
and the axis of symmetry ix x = 0 ( the y axis)
Answer:
5/(y+5)
Step-by-step explanation:
Perhaps you want the sum ...

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<em>Comment on rational expressions</em>
When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)
Your expression might be properly written as ...
3y/(y^2 +7y +10) +2/(y+2)
As you have written it, it simplifies to ...
3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12
= 7y +2/y +18
Please note, too, the exponentiation symbol (^).
We can form a system of equations:
x*y=90
and
x=2y+3.
Solving gives dimensions of 15 feet by 6 feet.
Composite because it can go into 2 and other numbers
First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at
, the equation will contain a
term.
If we start with
we have a parabola, concave down, with vertex at
and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be 
We have

Now we only have to fix the fact that this parabola doesn't land at
, because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

such that:
Plugging these values gets us

As you can see in the attached figure, the parabola we get satisfies all the requests.