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Mathematics 13 Online
zarkam21 (zarkam21):

Help please

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

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?

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

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

OpenStudy (eliesaab):

Yes

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