Answer:
A
Step-by-step explanation:
Given
f(x) = 
let f(x) = y and rearrange making x the subject
y =
( multiply both sides by 4 )
4y = x + 3 ( subtract 3 from both sides )
4y - 3 = x
Change y back into terms of x
(x) = 4x - 3 → A
Idk if this helped you but , symmetric forms a mirror image of itself when reflected in its vertical line ( u shape ) and symmetric bell shaped is when you draw the vertical line at the center
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.