anonymous
  • anonymous
Please help fast I've been trying to complete this for an hour and I need to get it done before 6am The function f(t) = t2 + 4t − 14 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points) Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) Part C: Determine the axis of symmetry for f(t). (2 points)
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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triciaal
  • triciaal
vertex form a(x-h)^2 + k h = -b/2a from standard form ax^2 + bx + c k = f(h) vertex (h, k)
anonymous
  • anonymous
is that A?
triciaal
  • triciaal
axis of symmetry is the line x = h

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anonymous
  • anonymous
Would this be a maximum because I don't see any negatives?
triciaal
  • triciaal
|dw:1437713419800:dw|
triciaal
  • triciaal
stat with your given equation what is a, b c ?
anonymous
  • anonymous
oh so the vertex is a minimum then
triciaal
  • triciaal
start
triciaal
  • triciaal
next what is -b/(2a)
triciaal
  • triciaal
is everything clear now?
anonymous
  • anonymous
i dont understand what you mean by what is -b/(2a) but ive been attempting to teach myself how to do these problems for an hour and at this point i dont think im capable of learning it without a physical teacher but so far for this question my answers are, "PART A: vertex form a(x-h)^2 + k h = -b/2a from standard form ax^2 + bx + c k = f(h) vertex (h, k) PART B: it is a minimum on the graph because it is the lowest point of the parabola at (-2,-18) PART C: axis of symmetry is the line x = h "
triciaal
  • triciaal
you need to put the number that was a whole lot for not responding to me helping you
anonymous
  • anonymous
Put the number in where and im sorry if i wasn't responding this stuff really confuses me
triciaal
  • triciaal
|dw:1437714409139:dw|
triciaal
  • triciaal
|dw:1437714492874:dw|
triciaal
  • triciaal
|dw:1437714526200:dw|
anonymous
  • anonymous
put in 4 and 1?
anonymous
  • anonymous
For A and B
triciaal
  • triciaal
whenever you don't understand something it is ok to ask for more clarification
triciaal
  • triciaal
correct
triciaal
  • triciaal
now do you see why h = -2?
anonymous
  • anonymous
ok so i have -4 on the top and 2 on the bottom silpfy and i get h=-2 is that right?
anonymous
  • anonymous
simplify*
triciaal
  • triciaal
to complete the square you are adding what is necessary to your original equation to make it a perfect square and keep the balance of the equation
anonymous
  • anonymous
is h=-2 the vertex?
triciaal
  • triciaal
|dw:1437714802686:dw|
anonymous
  • anonymous
and how do you know whats necessary to add to the original equation and how do i know when its a perfect square
triciaal
  • triciaal
h is the x-coordinate of the vertex the vertex is a point (h, k)
anonymous
  • anonymous
the topmost part in your drawing is the original equation right?
triciaal
  • triciaal
the vertex is the maximum or minimum point of the parabola
anonymous
  • anonymous
i know what the vertex is but like its confusing that vertex point is letters
triciaal
  • triciaal
|dw:1437715112937:dw|
triciaal
  • triciaal
vertex is a point (h, k) just like (x, y)
anonymous
  • anonymous
are we going to find the numbers that are the point though and if so how do we find them
triciaal
  • triciaal
you need to stop making things complicated
triciaal
  • triciaal
stop and actually read my responses
anonymous
  • anonymous
im sorry learning math is very hard for me i am reading your responses its just hard for me to process all this information
triciaal
  • triciaal
now, do you understand what a perfect square is?
anonymous
  • anonymous
i dont understand it too much
triciaal
  • triciaal
it is very hard because you are not being open clear you mind so you can make room to understand the responses
triciaal
  • triciaal
|dw:1437715452917:dw|
triciaal
  • triciaal
an entity multiplied by itself will give a perfect square
anonymous
  • anonymous
no its like im sorry but its the way i think im trying and im listening i promise
triciaal
  • triciaal
|dw:1437715523167:dw|
anonymous
  • anonymous
|dw:1437715469206:dw|
triciaal
  • triciaal
|dw:1437715610791:dw|
anonymous
  • anonymous
why is the second t bottom row squared is it still perfect?
anonymous
  • anonymous
oh wait i see what you did you did FOIL
triciaal
  • triciaal
|dw:1437715712439:dw|
triciaal
  • triciaal
|dw:1437715836314:dw|
anonymous
  • anonymous
so image before you used FOIL then simplify then in the next one you did the zeros thing?
anonymous
  • anonymous
also where did -4 come from
triciaal
  • triciaal
to make a perfect square you had to add 4 so to keep the balance of the equation you -4
triciaal
  • triciaal
look at the drawing in blue given
anonymous
  • anonymous
what does given mean?
triciaal
  • triciaal
|dw:1437716009964:dw|
triciaal
  • triciaal
what you were given in the question to start with
anonymous
  • anonymous
yeah i remember that image is it working bottom to top?
triciaal
  • triciaal
the question gave you the part originally marked in blue. to make a perfect square you added 4 to keep the balance of the equation you -4. +4 added to -4 = 0 so you are not changing the original just expressing it differently
triciaal
  • triciaal
|dw:1437716216823:dw|
anonymous
  • anonymous
oh i think i get it im still confused to how all of this applies to my original question though :( could you explain? is it a part of part A B or C?
triciaal
  • triciaal
read the question slowly then look at the response
anonymous
  • anonymous
My three questions the a b and c?
triciaal
  • triciaal
Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)
anonymous
  • anonymous
So i think we are on- yeah question a because we are completing the square
triciaal
  • triciaal
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) vertex (h, k) look at the vertex form of the equation you just wrote in A after completing the square
triciaal
  • triciaal
when a is positive the parabola opens up the vertex is at the minimum as you see in the sketch
anonymous
  • anonymous
part b it is a minimum
anonymous
  • anonymous
i know from that picture you showed me
anonymous
  • anonymous
so what you just said is the answer to B
anonymous
  • anonymous
and is (-2,-18) the vertex in 1
triciaal
  • triciaal
but you see why I had that point h = -2 and k = -18 Part C: Determine the axis of symmetry for f(t). (2 points) the axis of symmetry is the line that will "cut the parabola in half where the vertex is"
anonymous
  • anonymous
i mean A not 1
anonymous
  • anonymous
(-2,-18) is a point on the axis of symmetry?
anonymous
  • anonymous
since it is the vertex?
anonymous
  • anonymous
we need to cut it in half down y axis?
triciaal
  • triciaal
|dw:1437717207003:dw|
anonymous
  • anonymous
yeah i get that how do we convert that into text though?
triciaal
  • triciaal
i dont understand what you mean by what is -b/(2a) but ive been attempting to teach myself how to do these problems for an hour and at this point i dont think im capable of learning it without a physical teacher but so far for this question my answers are, "PART A: vertex form a(x-h)^2 + k h = -b/2a from standard form ax^2 + bx + c k = f(h) vertex (h, k) PART B: it is a minimum on the graph because it is the lowest point of the parabola at (-2,-18) PART C: axis of symmetry is the line x = h " what is h?
triciaal
  • triciaal
PART C: axis of symmetry is the line x = h " what is h?

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