#I need help with quadratics

95 messages · Page 1 of 1 (latest)

hollow iron
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We just got introduced to a parabola, first and second differences. The zeros, and the axis of symmetry. I have a quiz on quadratics and have been studying the stuff my teacher have us but still can't grasp anything. What we've learned so far are quadratics relations, the properties of graphs and quadratics relations, and factored form of a quadratic relation. I have no idea how to do any of it:-: I can't even do the introductory question for the first part of this unit.

pale auroraBOT
hollow iron
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Idk what tag fits

onyx relic
hollow iron
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Right now I need to know how to determine

  1. The equation of the axis of symmetry
  2. The coordinates of the vertex
  3. The y-intercept
  4. The zeros
  5. The maximum or minimum value. All through table of contents.
    Im also stuck on how to find y using first and second differences
onyx relic
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Question is it about parabola generally or quadratic functions

hollow iron
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I think specifically parabola

onyx relic
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Can you please give an image of an example

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So i can determine what to explain and what nkt ti

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Not to

hollow iron
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Okay

onyx relic
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Do you know how to do completing square

hollow iron
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No idea

onyx relic
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I'll explain it

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A perfect squar is when what you can represent as (x+a) ^2

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If we spread it we get

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X^2 +2ax+a^2

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That's what's called a square

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We alway wanna turn the equation into (x+a)^2 +c

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Do you understand me

hollow iron
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Mhm

onyx relic
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Let's start with y intercept

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Y intercept is the point of intersection of the curve with the y axis

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The y axis equation is x=0

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So you substitute x=0 in the quadratic relationand you get the answer

hollow iron
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Whats the quadratic function

onyx relic
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It's the same as a quadratic relation

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Sorry

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I'll use the same wording to avoid confusion

hollow iron
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Okay dwdw

trim grove
hollow iron
onyx relic
hollow iron
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Ok

trim grove
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taking the derivative is the only way i know to use to find max and min values 😭

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i forgot the normal way

onyx relic
trim grove
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find the zeros and average them?

onyx relic
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If there is no real zeroes you can average the imaginary ones but you can also complete the square and just get it's the same as the perfect squar

onyx relic
trim grove
onyx relic
hollow iron
onyx relic
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To get the zeros you substitute y with zero

hollow iron
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I think so

onyx relic
onyx relic
hollow iron
hollow iron
onyx relic
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I think i found an easy way to explain it

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First thing when you wanna get the axis of symmetry

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You remove the constants

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For example first one

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X^2+2

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Remove the plus 2

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You have x^2

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Make it equal to zero

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You get x=0 as the only value that makes it =0

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So the axis of symmetry is x=0

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Ok

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?

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@hollow iron

hollow iron
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Yes sorry i was called ro do smth rq

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I understand

onyx relic
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Another example

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X^2 +2x +4

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First we remove the 4

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We have x^2+2x

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Make it equal zero

onyx relic
hollow iron
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Hmmm

onyx relic
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Factorize

hollow iron
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If x = 0 then 0² + 2(0) +4 = 0 + 4 = 4

onyx relic
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I want to get all values that makes x^2+2x=0

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Hint take x as common factor

onyx relic
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There's another one

hollow iron
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0^2 = 0.
2(0) = 0.
0 + 0 = 0

onyx relic
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There's another value

hollow iron
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Can't x only be one value tho

onyx relic
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X is a variable

hollow iron
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Wouldn't you use a different variable

onyx relic
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X is an input that gets put into a machine then y comes out

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For example you would like to know population at a any time

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You for example y=x^2 where y is the population and x is the time i years

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Any numbet of years you substitute in x you get how big is the population at that time

onyx relic
onyx relic
hollow iron
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Idk how

trim grove
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i.e 3 is a factor in 3+24