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Mathematics 17 Online
jnlkmnjkm:

math problem

jnlkmnjkm:

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jnlkmnjkm:

@Florisalreadytaken

200082741:

@snowflake0531

200082741:

Hopefully you know how to do this lol

snowflake0531:

You have the vertex, and so we have y=a(x-h)^2 + k (h,k) is the vertex, while (x,y) can just be a random point we need to solve for a

snowflake0531:

You did a couple of problems before this, hopefully, you'll know hwo to solve for a, after you get that expand the form of a(h-k)^2 + k to get standard form -> ax^2 + bx-c

surjithayer:

let the eq. of parabola be y=ax^2+bx+c it passes through (-1,2),(3,2) and (1,-2) 2=a-b+c ...(1) 2=9a+3b+c ...(2) -2=a+b+c ...(3) (3)-(1) gives -2-2=b+b 2b=-4, b=-2 (2)-(1) gives 0=8a+4b 0=2a+b 2a=-b=-(-2) a=2/2=1 from (1) 2=1+2+c c=-1 so y=x^2-2x-1 https://www.desmos.com/calculator/xjzkiefn3p y=x^2-2x-1

jnlkmnjkm:

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snowflake0531:

you put it in wrong

snowflake0531:

-2x, you put 2x

jnlkmnjkm:

1 attachment
jnlkmnjkm:

snoflake

jnlkmnjkm:

snoflake?

jnlkmnjkm:

@snowflake0531

snowflake0531:

yes, i think that's it

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