anonymous
  • anonymous
Create an equation. Use the graph below to create the equation of the rainbow parabola.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
it's an upside down parabola
anonymous
  • anonymous
http://assets.openstudy.com/updates/attachments/556f231ce4b0c4e453fa9e42-rosebud4612flvs-1433346859795-1.gif
anonymous
  • anonymous
@Loser66 @Luigi0210

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More answers

Loser66
  • Loser66
what is the vertex-form of a parabola?
anonymous
  • anonymous
um... (h,k) is the vertex
anonymous
  • anonymous
y=a(x-h)^2-k @Loser66 ??
Loser66
  • Loser66
yes, but +k, not -k and your vertex is ???
anonymous
  • anonymous
(0,36)
Loser66
  • Loser66
ok, so, it is ?? y = ??
Loser66
  • Loser66
replace h, k in
anonymous
  • anonymous
um...y=x^2+36?
Loser66
  • Loser66
where is your a??
Loser66
  • Loser66
y =a x^2 +36 , ok??
anonymous
  • anonymous
kk!
Loser66
  • Loser66
Now, pick a point on the graph. (either of them, not vertex)
anonymous
  • anonymous
um -6?
Loser66
  • Loser66
a point means (.., ...) not just -6
anonymous
  • anonymous
(0,6)
Loser66
  • Loser66
you don't have that point!! , you have (-6,0) or (6,0)
Loser66
  • Loser66
which one do you choose??
anonymous
  • anonymous
whoops! um...(6,0) :)
Loser66
  • Loser66
ok, that is x =6 , y =0 right? plug that point into y = ax^2 +36, what do you have?
triciaal
  • triciaal
an upside down parabola / like a rainbow means the value of a is negative
anonymous
  • anonymous
y=-x^2+36
Loser66
  • Loser66
@triciaal please, be patient, it will be there!!
Loser66
  • Loser66
|dw:1437949718632:dw|
Loser66
  • Loser66
that is 0 = a*36 +36 , right?
Loser66
  • Loser66
-36 both sides, what do you get?
anonymous
  • anonymous
-y=x2-36
Loser66
  • Loser66
no!! redo 0 = a*36 +36 -36 -36 ---------------- ??
anonymous
  • anonymous
-36=a(0)
Loser66
  • Loser66
nope!! redo, please.
anonymous
  • anonymous
-36=36a
Loser66
  • Loser66
\(0= a*36 \cancel{+36}\\-36~~~~~~~\cancel{-36}\)
Loser66
  • Loser66
YYYYYYYYYYYYes!!
Loser66
  • Loser66
now, divided both sides by 36 , what do you get?
Loser66
  • Loser66
\(-36 = a*36\\\div 36~~~~~~\div 36\)
anonymous
  • anonymous
-1=a
Loser66
  • Loser66
yes !!yes!! yes!!!
anonymous
  • anonymous
:) Thanksss
Loser66
  • Loser66
Now, replace a =-1 into the vertex form y = ax^2 +36, you have????
anonymous
  • anonymous
ah! You would get...y=-1x^2+36
Loser66
  • Loser66
Binnnnnnnnnnnnnnnnngo!! you got it!! can write as y = -x^2 +36
anonymous
  • anonymous
yay!!!!!
Loser66
  • Loser66
@triciaal don't worry about parabola up or down. Apply the standard form, if it is up, we will get a >0, if it is down, we will get a<0.
anonymous
  • anonymous
Wait! Lol we have 1 more part that I don't understand. It's like Part 2 to the question
anonymous
  • anonymous
Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.
anonymous
  • anonymous
Any ideas??
Loser66
  • Loser66
hahaha... that is supposed to be my question, not yours.
Loser66
  • Loser66
since it is a linear function, that is a line, whatever you like, just "create" it. If I pick y = -x, then the line is |dw:1437950415171:dw|
Loser66
  • Loser66
It will "cut" the parabola at 2 points. |dw:1437950461903:dw|
Loser66
  • Loser66
If you pick y =x, it is perfectly ok, the line will be here and cut the parabola at 2 points like |dw:1437950524706:dw|
Loser66
  • Loser66
and the simplest case is |dw:1437950561325:dw|
Loser66
  • Loser66
still cut the parabola at 2 points. hehehe...
anonymous
  • anonymous
but where would the 2 points intersect?
Loser66
  • Loser66
but you must choose y =x, since the drone is upward, right?
Loser66
  • Loser66
|dw:1437950672718:dw|
Loser66
  • Loser66
Now, solve for the points you have y =x and y = -x^2 + 36 replace y =x x = -x^2 + 36 +x^2 both sides, what do you have?
anonymous
  • anonymous
But how would we "create a table of at least four values for the function. Remember to include the two points of intersection in your table?"
anonymous
  • anonymous
x^2+36
Loser66
  • Loser66
nope, redo.
anonymous
  • anonymous
x^2=x^2+36 ?
Loser66
  • Loser66
\(~~~~~~x = -x^2 +36\\+x^2~~~~+x^2\)
anonymous
  • anonymous
x+X^2=36
Loser66
  • Loser66
yes, now -36 both sides
Loser66
  • Loser66
\(x^2+x-36 =0\) right?
Loser66
  • Loser66
solve this quadratic, what do you get for x??
Loser66
  • Loser66
ok, I put it on my calculator and it gives me x = 5.52 and x = -6.52
anonymous
  • anonymous
um...I agree :)
Loser66
  • Loser66
Take them, now we have the line y =x, and those x values are the intersection of the line and the parabola The Table is just |dw:1437951089610:dw|
anonymous
  • anonymous
Thanks! You're really smart!
Loser66
  • Loser66
not that!! hehehe... just study the stuff before you.
anonymous
  • anonymous
haha! either way, you're awesome :)))

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