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Mathematics 17 Online
OpenStudy (3psilon):

Standard form for a parabola with this equation! Help please!

OpenStudy (3psilon):

\[y = -\frac{ 1 }{ 4 }x^{2} -x + \frac{ 1 }{ 4 } \]

OpenStudy (3psilon):

I don't get the completing the square part

OpenStudy (anonymous):

drawing? can't see equation

hartnn (hartnn):

that equation is in standard form, u need to get it in vertex form ?

OpenStudy (3psilon):

yes

hartnn (hartnn):

-1/4(x^2+4x)+1/4 what to add and subtract ?

OpenStudy (3psilon):

subtract 1/4

hartnn (hartnn):

we add and subtract the square of half of co-efficient of x so here, what is half of 4 ?

OpenStudy (3psilon):

2

hartnn (hartnn):

and its square ?

OpenStudy (3psilon):

4

hartnn (hartnn):

so what will u add and subtract ?

OpenStudy (3psilon):

Do you subtract the square?

hartnn (hartnn):

u add and subtract the 4 like this: -1/4(x^2+4x+4 -4)+1/4 can u go ahead ?

OpenStudy (3psilon):

y-1/4 +4 = -1/4(x^2+4x -4)

hartnn (hartnn):

y-1/4 -4(1/4) = -1/4(x^2+4x +4)

OpenStudy (3psilon):

why -4(1/4) on the left???

hartnn (hartnn):

y=-1/4(x^2+4x+4 -4)+1/4 = -1/4 (x^2+4x+4) -1/4 (-4) +1/4 y-1/4 -1/4(4) = -1/4(x^2+4x+4) confusing ?

OpenStudy (3psilon):

why did you not add it to both sides? why subtract? it says -1/4(-4)

OpenStudy (3psilon):

Ohh I see it now

OpenStudy (3psilon):

Wow thank you so much

hartnn (hartnn):

u can continue to get the vertex form, right ?

OpenStudy (3psilon):

yess It is quite easy now. Thank you so much :) I can sleep now haha

hartnn (hartnn):

welcome ^_^

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