Mathematics
13 Online
zarkam21 (zarkam21):
Help please
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zarkam21 (zarkam21):
zarkam21 (zarkam21):
@Will.H
OpenStudy (eliesaab):
The equation is of the form
\[
(y+3)^2=b+m x\]
You have two information to find m and b
Do it
zarkam21 (zarkam21):
Would m and b be the points?
OpenStudy (eliesaab):
Numbers
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zarkam21 (zarkam21):
I understand but the points that are provided right?
OpenStudy (eliesaab):
The point (3,-3) is on the parabola. Replace y by -3 and x by 3 to find an equation between m and b
OpenStudy (eliesaab):
Do the same for the point (0,-2), you get another eqaution. Sole the two equations and you and done
OpenStudy (eliesaab):
You get
\[
0 = 3 m + b \\ (-2 + 3)^2 = +b
\]
Find m and b
OpenStudy (eliesaab):
The easy one is b. How much is b?
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OpenStudy (eliesaab):
Are you with me?
zarkam21 (zarkam21):
Yes i am here just thinking
zarkam21 (zarkam21):
So would it be (-3-3)^2=b+m(3)
zarkam21 (zarkam21):
@eliesaab
OpenStudy (eliesaab):
The second equation
\[
0 = 3 m + b \\ (-2 + 3)^2 = +b\]
gives b=1, replace b by 1 in the first equation to find m
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zarkam21 (zarkam21):
0=3+b
OpenStudy (eliesaab):
0= 3m +1
OpenStudy (eliesaab):
You get
\[
m=-\frac 13\]
OpenStudy (eliesaab):
The final answer is
\[
(y+3)^2=1-\frac{x}{3}
\]
zarkam21 (zarkam21):
So that is the equation
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OpenStudy (eliesaab):
Yes