Question

PLS HELP!!!! MEDAL AND FAN
Suppose that a water fountain produces a stream of water that follows the shape of a parabola. Assigning the origin of a coordinate system to the point where the water stream emerges from the fountain, a measurement shows that the maximum height of the stream occurs at the point (6, 5). Use symmetry to identify a third point and find a quadratic regression equation for the stream of water.

Answer 1

I don't need the answer specifically.
Steps on how to solve will work

Answer 2

@YanaSidlinskiy

Answer 3

Hmm.....I'm not that smart to do these type of problems. But, @ganeshie8 Is smart! I recommend him for this type of problem. I'll just sit back and learn from him too:D

Answer 4

thanks

Answer 5

if u don't mind can u answer another ques simple than this.

Answer 6

Regression equations are usually used to predict values of unavailable data. If the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. The more closely data fit a model, the more _______________ predicted values will be.
a.
accurate
b.
quadratic
c.
scattered
d.
variable

Answer 7

is it accurate?
i was just not sure

Answer 8

Yes. I made a little mistake there. I meant to type accurate but typed in scattered. I'm in the dark right now..Everything goes through my brain lol..

Answer 9

okay. thanks again

Answer 10

:D

Answer 11

I think @mathmate might help. He gave me some good tips on my other questions:D

Answer 12

@Broskishelleh
@dumbsearch
@lneel
@soyunafiera
@ziggystardust69

Answer 13

For the first problem, do you visualize a graphical representation as follows:

Can you then figure out by symmetry the coordinates (x1,y1)
Do you need help to find the rule of the parabola?

Answer 14

is it (0,5)

Answer 15

but what do i do next?

Answer 16

@mathmate are u there?

Answer 17

Sorry, I was afk.

Answer 18

(0,5) is not correct.
Do you know the line of symmetry?

Answer 19

Which point does it pass through?

Answer 20

oh i'm sorry
it is (0,6) right?

Answer 21

The line of symmetry passes through the top of the parabola (6,5)

Answer 22

yes

Answer 23

Do you know what is the meaning of (6,5)?

Answer 24

yes
the line of symmtry is x=6

Answer 25

*symmetry

Answer 26

Yes, that's good.

Answer 27

So can you now figure out the coordinates of the other leg of the parabola?

Answer 28

my best guess is (6,0) as i look at the x value of the line of symmetry to find the coordinate

Answer 29

(6,0) turns out to be the bottom of the vertex, and it lies on the line of symmetry.
You are looking for the point symmetrical to the origin (0,0).
For convenience we will label the parabola OVB
O for origin
V for vertex
B for the base (the other leg)