ok, so as discussed with az recently
x=-4
x=-1
what does that mean?
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jnlkmnjkm:
(x+4) (x+1)
Florisalreadytaken:
good -- what do we get from that?
jnlkmnjkm:
im not sure
jnlkmnjkm:
sorry im not sure
Florisalreadytaken:
so
y = a(x+4)(x+1)
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Florisalreadytaken:
our y would be the intersection on the y axis
jnlkmnjkm:
4
Florisalreadytaken:
yes so we have
4 = a(x+4)(x+1)
jnlkmnjkm:
alright
Florisalreadytaken:
but the intersection point is (0 , 4)
thus
4 = a(0+4)(0+1)
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jnlkmnjkm:
a(4)(1)
Florisalreadytaken:
where
\[4 = a \times 4 \times 1\]
girlygirl:
this confusing
jnlkmnjkm:
alright
Florisalreadytaken:
solve for a then
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jnlkmnjkm:
1
jnlkmnjkm:
a = 1
jnlkmnjkm:
4=4
Florisalreadytaken:
y = 1(0+4)(0+1) *
jnlkmnjkm:
4 = 4
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Florisalreadytaken:
what?
jnlkmnjkm:
y = 4
Zyzy:
What u need help with
jnlkmnjkm:
florisalreadytaken y = 4
Florisalreadytaken:
does that sound right?
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jnlkmnjkm:
im not sure
Florisalreadytaken:
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Florisalreadytaken
y = 1(0+4)(0+1) *
\(\color{#0cbb34}{\text{End of Quote}}\)
what do we get from this tho -- to turn it into a parabola form
jnlkmnjkm:
im not sure
Florisalreadytaken:
we get that
y = 1(x+4)(x+1)
Florisalreadytaken:
from where we simplify that into
x^2 + 5x + 4
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Florisalreadytaken:
and yeah thats it
jnlkmnjkm:
thanks
surjithayer:
let eq. of parabola be
y=ax^2+bx+c
beacuse it passes through (-4,0),(-1,0) and (0,4)
so 0=16a-4b+c
0=a-b+c
4=0a+0b+c
so c=4
16a-4b+4=0
4a-b+1=0
4a-b=-1 ...(1)
a-b=-4 ...(2)
subtract
3a=3
a=3/3=1
a=1
1-b=-4
b=1+4=5
so reqd. eq. is
y=x^2+5x+4