Question

HELP

a = 16
b = 182
c = 0

find the coordinates of the vertex.

Answer 1

i have tried so many times
and get weird awnsers

Answer 2

what do those numbers suppose to represent?

Answer 3

16x^
2 + 182x

Answer 4

16x^2 + 182x

Answer 5

then i think you put it like x = -b/2a

Answer 6

oh... those are the coefficients for a parabola in standard form: \(\large y=ax^2+bx+c \)

Answer 7

ya

Answer 8

you are correct... the x-coordinate of the vertex is \(\large \frac{-b}{2a} \)

Answer 9

then i get -5.6875

Answer 10

yes, but leave it in fraction form... reduced....

Answer 11

oh
what difference does that make?

Answer 12

many times the exact value can only be written in fraction form...

Answer 13

well i think it might end up better than -1126.125
right?

Answer 14

or in the end it will come out the same?

Answer 15

idk what you mean ^^^

Answer 16

when i plug -5.6875 into 16x^2 + 182x it makes -1126

Answer 17

.125

Answer 18

oh... yeah ok... if you're teacher doesn't mind it, then i guess it's ok...

Answer 19

so that is the answer?
the order pair is (-5.6875, -1126.125)

Answer 20

yep...

Answer 21

because the question is about how high water can be shot

Answer 22

from a jet

Answer 23

How High Will the Water Reach?
10. Identify the a, b, and c values in your equation. (3 points)
a = 16
b = 182
c = 0
11. What is the formula for locating the x-coordinate of the vertex? (2 points)
16x2 + 182x
12. Use the graphing technology of your choice to graph the above equation and find the vertex value. Set rounding to 5 places. Save a copy of this graph and paste or attach it to this Worksheet. (5 points)
13. What are the coordinates of the vertex? (5 points)
(5.6875, 1126.125)
14. How high does this mean the water from your fountain reaches into the air? (5 points)
It reaches 1126.125 feet in the air.
15. Does this match the height indicated by your research? (1 point)
• Yes
• No
16. If it is different, what do you think may be a possible reason why the two numbers differ? (3 points)

Answer 24

for that y-value, i got something else... double check your answer.

Answer 25

and how come in your answer you changed the x-coordinate from negative to positive?

Answer 26

i just plug in the x
right?

i got a positive by multiplying -91 and -1035.125

Answer 27

are you sure that 16 is supposed to be positive? is the coefficient of x^2 supposed to be 16?

Answer 28

oh its - 16

Answer 29

so the only difference now is that it is negative.