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vertex form a(x-h)^2 + k h = -b/2a from standard form ax^2 + bx + c k = f(h) vertex (h, k)
is that A?
axis of symmetry is the line x = h
Would this be a maximum because I don't see any negatives?
stat with your given equation what is a, b c ?
oh so the vertex is a minimum then
next what is -b/(2a)
is everything clear now?
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 "
you need to put the number that was a whole lot for not responding to me helping you
Put the number in where and im sorry if i wasn't responding this stuff really confuses me
put in 4 and 1?
For A and B
whenever you don't understand something it is ok to ask for more clarification
now do you see why h = -2?
ok so i have -4 on the top and 2 on the bottom silpfy and i get h=-2 is that right?
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
is h=-2 the vertex?
and how do you know whats necessary to add to the original equation and how do i know when its a perfect square
h is the x-coordinate of the vertex the vertex is a point (h, k)
the topmost part in your drawing is the original equation right?
the vertex is the maximum or minimum point of the parabola
i know what the vertex is but like its confusing that vertex point is letters
vertex is a point (h, k) just like (x, y)
are we going to find the numbers that are the point though and if so how do we find them
you need to stop making things complicated
stop and actually read my responses
im sorry learning math is very hard for me i am reading your responses its just hard for me to process all this information
now, do you understand what a perfect square is?
i dont understand it too much
it is very hard because you are not being open clear you mind so you can make room to understand the responses
an entity multiplied by itself will give a perfect square
no its like im sorry but its the way i think im trying and im listening i promise
why is the second t bottom row squared is it still perfect?
oh wait i see what you did you did FOIL
so image before you used FOIL then simplify then in the next one you did the zeros thing?
also where did -4 come from
to make a perfect square you had to add 4 so to keep the balance of the equation you -4
look at the drawing in blue given
what does given mean?
what you were given in the question to start with
yeah i remember that image is it working bottom to top?
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
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?
read the question slowly then look at the response
My three questions the a b and c?
Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)
So i think we are on- yeah question a because we are completing the square
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
when a is positive the parabola opens up the vertex is at the minimum as you see in the sketch
part b it is a minimum
i know from that picture you showed me
so what you just said is the answer to B
and is (-2,-18) the vertex in 1
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"
i mean A not 1
(-2,-18) is a point on the axis of symmetry?
since it is the vertex?
we need to cut it in half down y axis?
yeah i get that how do we convert that into text though?
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?
PART C: axis of symmetry is the line x = h " what is h?