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Mathematics 22 Online
jnlkmnjkm:

math problem

jnlkmnjkm:

1 attachment
jnlkmnjkm:

-4 -1

jnlkmnjkm:

@AZ

jnlkmnjkm:

@Florisalreadytaken

Florisalreadytaken:

ok, so as discussed with az recently x=-4 x=-1 what does that mean?

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)

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)

jnlkmnjkm:

a(4)(1)

Florisalreadytaken:

where \[4 = a \times 4 \times 1\]

girlygirl:

this confusing

jnlkmnjkm:

alright

Florisalreadytaken:

solve for a then

jnlkmnjkm:

1

jnlkmnjkm:

a = 1

jnlkmnjkm:

4=4

Florisalreadytaken:

y = 1(0+4)(0+1) *

jnlkmnjkm:

4 = 4

Florisalreadytaken:

what?

jnlkmnjkm:

y = 4

Zyzy:

What u need help with

jnlkmnjkm:

florisalreadytaken y = 4

Florisalreadytaken:

does that sound right?

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

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

jnlkmnjkm:

thanks

surjithayer:

yw

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