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Quadratics, image, Step 1: Find the transformations., Step 2: Find the new…

- - - - Vertex Form:
  - - - Steps into graphing an quadratic relation:
        
        Solve:
        
        Step 1: Find the new transformations
        
        Step 2: Find the new vertex
        
        Step 3: Create a new set of values for the vertex
        
        Step 4: Graph
      - or - = Vertical Reflection
        
        a= vertical stretch or compression
        
        h= Horizontal translation
        
        k= Vertical translation
        
        k makes the graph go up or down
        
        -means it goes down and + makes it go up
        
        h makes the graph move left or right
        
        means it goes left and - makes it go right
        
        a > 1 = vertical stretch
        
        0<a<1= vertical compression
        
        If it is a negative, it is a vertical reflection (upside down)
  - - - Vertex: The maximum or minimum of the Parabola
      - Axis of Symmetry: Vertical line that divides the parabola into 2.
      - Parabola: The shape of the quadratic expression.
- - - - .
  - - - .
    - - We would use FOIL to multiply the polynomials
        
        FOIL means First, Outer, Inner, Last, meaning the first numbers get multiplied, the outer numbers get multiplied, the inner numbers get multiplied, and the last numbers get multiplied.
        
        The Outer numbers are the first and last numbers, and the inner numbers are the second and third numbers.
        
        Solve:
        
        First, multiply 6x and x.
        
        6 time x= 6x^2
        
        Then, Multiply 6 and 9
        
        6 times 9= 54
        
        After, do -5 times x
        
        2 more items...
  - - - .
- - - - Solve:
        
        First, move all the numbers beyond the = to the other side:
        
        Second, multiply 12 by 4 and find out what multiples into that and adds into your b value.
        
        12x4= 48
        
        8x6=48
        
        8+6=14
        
        Thirdly, simplify it.
        
        GCF for the 1st bracket:4m
        
        GCF for the 2nd bracket: 4
  - - - Finishing the square involves this forumla:
        
        Finishing the square requires the x to be 0, so divide x by whatever the number is.
        
        use the formula to find a number that will be positive and negative.
        
        Move the negative to the outside. Multiply by the number infront if there is one.
        
        Solve, but your answer should look like this:
        
        y=(x-h)^2 +k
  - - - AOS means area of symmetry, otherwise, the middle. The equation would look like this to find it:
  - - - It looks like this: