#1

ok. So i have 3 points on a graph... These points are all points on a quadratic equation.

(32, 6)

(48, 14)

(64, 24)

Find the function.... How do I do that?

Oh and the function goes through (0, 0).

(32, 6)

(48, 14)

(64, 24)

Find the function.... How do I do that?

Oh and the function goes through (0, 0).

#2

your equation looks like this:

y=a*x^2+b*x+c

use the three points to find a,b and c.

y=a*x^2+b*x+c

use the three points to find a,b and c.

#3

Could you maybe elaborate abit?

#4

y=a(d+x)²+e

32=x 48=x 64=x

6=y 14=y 24=y

0=d

0=e

the first:

6=a(0+32)²+0

6=a (0+32)(0+32)+0

6=a(1024) |:1024

i think it has to go like this

32=x 48=x 64=x

6=y 14=y 24=y

0=d

0=e

the first:

6=a(0+32)²+0

6=a (0+32)(0+32)+0

6=a(1024) |:1024

i think it has to go like this

#5

6 = a*(32)^2 + b*(32) + c

14 = a*(48)^2 + b*(48) + c

24 = a*(64)^2 + b*(64) + c

0 = a*(0)^2 + b*(0) + c

solve for a,b, and c

14 = a*(48)^2 + b*(48) + c

24 = a*(64)^2 + b*(64) + c

0 = a*(0)^2 + b*(0) + c

solve for a,b, and c

#6

If you have a graphing calculator, just put the points into matricies (sp?). Problem solved.

#7

.006X^2+.0136X-.036 is as close as I can get. What class is this and based on previous work is this answer likely to be complex or very simple (whole numbers). Also are you sure it passes through (0,0)

#8

6 = a*(32)^2 + b*(32) + c

14 = a*(48)^2 + b*(48) + c

24 = a*(64)^2 + b*(64) + c

0 = a*(0)^2 + b*(0) + c

solve for a,b, and c

Well that shows you that c=0 so the rest should be just boring algebra.

#9

Ok, i have the answer, :

0.006x^2... How did I get that?

0.006x^2... How did I get that?

#11

6 = a*(32)^2 + b*(32) + c

14 = a*(48)^2 + b*(48) + c

24 = a*(64)^2 + b*(64) + c Both red eqations are the same.

So You get:

C=0

14 = a*(48)^2 + b*(48)

6 = a*(32)^2 + b*(32)

-----------------------------

14=2304*a+48*b

6=1024*a+32*b

a=5/768

b=-1/48

14 = a*(48)^2 + b*(48) + c

24 = a*(64)^2 + b*(64) + c Both red eqations are the same.

**0 = a*(0)^2 + b*(0) + c**====>**c=0**So You get:

C=0

14 = a*(48)^2 + b*(48)

6 = a*(32)^2 + b*(32)

-----------------------------

14=2304*a+48*b

6=1024*a+32*b

a=5/768

b=-1/48

#12

i wish i still had math problems like that.

#13

plot it in excel and fit a curve to it (cheating)

#14

You can't get accurate results using excel plot, hell you don't even know if it'll draw you a parabula or not.