9514 1404 393
Answer:
2(x+1)
Step-by-step explanation:
x . . . I think of a number
x +1 . . . add 1
2(x +1) . . . double the result
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.
Answer: (1.5, 3.5)
Explanation:
Find the slope by using the coordinates for points L and K.
3 - 4 = -1
5 - (-2) = 7
Slope = -1/7
Then you plot your points on the graph.
But you want to half your slope to find the midpoint. So your slope would now be -0.5/3.5.
And when you follow that slope, you will plot down the coordinate (1.5, 3.5), which is the midpoint.
Hope this helped! :3
(Also don’t mind the 19 at the top left)