anonymous
  • anonymous
***FAN AND MEDAL*** The second part of the new coaster is a parabola. 4)Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros. 5)The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@phi
anonymous
  • anonymous
oh thats simple, what do u think
anonymous
  • anonymous
i dont thats why im asking, im not good at math

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anonymous
  • anonymous
what grade r u in
anonymous
  • anonymous
now im 10, but im take flvs algebra 1
anonymous
  • anonymous
ok
anonymous
  • anonymous
so read the question carefully again
anonymous
  • anonymous
i will help
anonymous
  • anonymous
thank you!!! finally!!
anonymous
  • anonymous
but why u ignoreing me
anonymous
  • anonymous
i tried to fan
anonymous
  • anonymous
when someone help me and give the answers, i will be fan
anonymous
  • anonymous
@jim_thompson5910
anonymous
  • anonymous
@SolomonZelman @jdoe0001
SolomonZelman
  • SolomonZelman
have you chosen the parabola for question #4?
SolomonZelman
  • SolomonZelman
Make up any parabola that you like, that will be convinient for you to use. For example, i would make up the following parabola: y=-x²+4x+5
SolomonZelman
  • SolomonZelman
want to use this example, or do you want to use your own example (if you want to use your own example, then make one up)
anonymous
  • anonymous
i want to use your example ;/ @SolomonZelman
anonymous
  • anonymous
are you there @SolomonZelman
SolomonZelman
  • SolomonZelman
ok, we need to find the vertex. y=-x²+4x+5 y=-(x²-4x)+5 what number would you want y=-(x²-4x+\(\color{red}{\rm here}\))+5 to make the expression in parenthesis a perfect square?
anonymous
  • anonymous
i can use number 5?
SolomonZelman
  • SolomonZelman
you need to make the part inside the parenthesis into a perfect square trinomial.... do you know what a perfect square trinomial is?
anonymous
  • anonymous
no ;/
SolomonZelman
  • SolomonZelman
you know that (x+a)² would be expanded the following way: (x+a)² = (x+a)(x+a) = x²+ax+ax+a² = x²+2ax+a² (do you know this?)
anonymous
  • anonymous
you ask me if i know how to do this?
SolomonZelman
  • SolomonZelman
yes, if you followed the steps i did , and if you would be able to expand similar expressions like this on your own.
anonymous
  • anonymous
i see its not really hard to understand that
SolomonZelman
  • SolomonZelman
ok, very good!
SolomonZelman
  • SolomonZelman
So, what we have as the result, the x²+2ax+a² is called a perfect square trinomial
SolomonZelman
  • SolomonZelman
this is an expression that can be factored into (x+a)²
SolomonZelman
  • SolomonZelman
(of course, a is some constant, and x is the variable)
SolomonZelman
  • SolomonZelman
Ok, can you expand (x+1)² for me?
anonymous
  • anonymous
ok wait
SolomonZelman
  • SolomonZelman
sure, take your time.
anonymous
  • anonymous
x (x =2) + 1 x^2 + 2x + 1 x= -1
anonymous
  • anonymous
its that right?
SolomonZelman
  • SolomonZelman
i am trying to undertsnad line 1 and 3....
SolomonZelman
  • SolomonZelman
there is a rule for this: \(\large\color{black}{ \displaystyle (b+a)^2= b^2+2ba+a^2 }\) and so it would be true in this case: \(\large\color{black}{ \displaystyle (x+a)^2= x^2+2xa+a^2 }\) and same way, we can say: \(\large\color{black}{ \displaystyle (x+1)^2= x^2+2x(1)+(1)^2=x^2+2x+1 }\)
SolomonZelman
  • SolomonZelman
(we are just expanding....)
SolomonZelman
  • SolomonZelman
but an expression that is in the form of x²+2ax+a² is the "perfect square trinomial" it is prefect square because it takes to multiply (x+a) times (x+a) to get it...
SolomonZelman
  • SolomonZelman
following so far?
anonymous
  • anonymous
mmum yea..
SolomonZelman
  • SolomonZelman
So, now lets think it backwards.
anonymous
  • anonymous
ok... so?
SolomonZelman
  • SolomonZelman
This (below) is an example of how to find the last term for a perfect square trinomial... Say I have \(\large\color{black}{ \displaystyle x^2+6x }\) and I want to know what number to add \(\large\color{black}{ \displaystyle x^2+6x+\color{red}{\rm here} }\) to make this expression a "perfect square trinomial" \(\rm \large Lets~~compare!\) \(\large\color{black}{ \displaystyle x^2+6x+\color{red}{\rm here} }\) (our expression where we want to add a number to make it a perfect square trinomial) \(\large\color{black}{ \displaystyle x^2+2ax+a^2 }\) (the general form of a perfect square trinomial) So you can see based on the first 2 terms of each of the expressions that the "2a" part in our case is 6. So if 2a is 6, then a is 3, and then a² is 9. So we would want to add 9 to make our expression a perfect square trinomial. \(\large\color{black}{ \displaystyle x^2+6x+\color{red}{\rm 9} }\)
SolomonZelman
  • SolomonZelman
And so it would always follow, that when you have: \(\large\color{black}{ \displaystyle x^2+\color{red}{\rm c}x }\) then the number you have to add to make the expression into a perfect square trinomial is: \(\large\color{black}{ \displaystyle \frac{\color{red}{\rm c} ^2}{4}}\)
SolomonZelman
  • SolomonZelman
if you have a question ask.... or if you are getting it, say so... (if you need more time to read, then keep reading)
anonymous
  • anonymous
@jim_thompson5910
SolomonZelman
  • SolomonZelman
do i know the answer... i don't really know the question.... what is the first part of the roller coaster, if you are asked to create the second one?

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