Question

URGENT CALC HELP!

Answer 1

Find a parabola with equation
y = ax2 + bx + c
that has slope
2
at x = 1, slope
−10
at x = −1, and passes through the point
(2, 13).

Answer 2

I need someone to guide me, I do not know where to start..

Answer 3

Derivative is 2ax+b

Answer 4

I'll get to you as soon as I see what's so hard about all this >:)

Answer 5

LOL kidding
Derivative is slope, and the slope is 2 when x = 1.
substitute ^.^

Answer 6

I don't think this is Calculus..

Answer 7

Well, haha its not hard maybe but just I'm running about of time :)

Answer 8

Seems like simple Algebra I.

Answer 9

Then quickly now.
Derivative (slope) is 2 when x = 1.

Sub them

Answer 10

Into what I gave?

Answer 11

the derivative 2ax + b, yes.

Answer 12

Okay, since you're in a hurry, and the fact that you're a sentient bus, I'll demo the first equation, but you have to do the second.

When x = 1, the slope 2ax + b is 2.

This all means that when x = 1 (sub x into the derivative)
... 2a + b

the slope is 2.

Then the derivative is equal to 2...

2a + b = 2

Understand?

Answer 13

Thanks, I think so!

Answer 14

Okay... set up the second equation...
when x = -1, the slope is -10

What equation do we get from that?

Answer 15

-10

Answer 16

...and I'm sure there's a star somewhere in the night sky where -10 is an equation, but not here :D

Come on, just do what I did with the first equation ^.^

looking back... I don't think -10 is an equation anywhere :P

Answer 17

-10 is an equation of a line :) y = -10

Answer 18

:(
ok

Answer 19

-10 by itself is not equation, since there is no = sign in it .... but then mathmatikers get lazy a lot of the time.

Answer 20

you have a system of equation to determine:\[2ax_1+b=y_1\\2ax_2+b=y_2\]
solve for a,b
then use them to determine:\[ax_3^2+bx_3+c=y_3\]

Answer 21

I lost him :(

Why do people keep running away from me....

Answer 22

its the green tights .. makes them uncomfortable, but thats just a guess :)

Answer 23

:(
Oh well... on to the next :D

Answer 24

oh wait.... talking bus is back :D

Answer 25

Hum. So it is
3x^2-4x+9!!!!!!!\

?????

Answer 26

we could just as well setup a 3 system of equation

2ax1 +b +0c=y1
2ax2 +b +0c=y2
a(x3)^2+bx3+c =y3

\[rref: \begin{pmatrix}
2x_1&1&0&|&y_1\\
2x_2&1&0&|&y_2\\
x_3^2&x_3&1&|&y_3\\
\end{pmatrix}\]

Answer 27

Not that I don't like magic... but, maybe your particular brand of magic could use a little more explanation :)

Answer 28

1,2
-1,10
2,13

rref{{2,1,0,2},{-2,1,0,-10},{4,2,1,13}}

http://www.wolframalpha.com/input/?i=rref%7B%7B2%2C1%2C0%2C2%7D%2C%7B-2%2C1%2C0%2C-10%7D%2C%7B4%2C2%2C1%2C13%7D%7D

yes, 3,-4,9

Answer 29

its an augmented matrix solution to the 3equations in 3unknown

Answer 30

linear algebra :)

Answer 31

I'll stick to faerie dust.
Well done anyways XD

Answer 32

... my cats ate all my dust