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y = x2 - 6x + 4

Use an equation that will help us find the x of our vertex point (x,y)

  equation for x of your vertex = -b/2a

  this equation

      a = 1, b = -6, c = 4

  vertex x = -(-6)/2(1)  =  6/2  =  3

Take the x you just found and plug it back into original equation to find the y of your vertex

   y = (3)2 - 6(3) + 4  =  9 - 18 + 4  =  -5

Vertex is: (3,-5)

Now you can chose one or two points on either side of your vertex x and plug in to find a couple more points. Because vertex x = 3, lets use 2 and 4

   y = (2)2 - 6(2) + 4   =   4 - 12 + 4 =  -4     Point = (2,-4)

   y = (4)2 - 6(4) + 4 = 16 - 24 + 4 = -4        Point = (2,-4)

If you need a couple more points then choose x to be 1 and 5.

Comments

I have the vertex down just I need to see how to graph them like I know how to graph the vertex just graphing from the axis symmetry?

Well the axis of symmetry will be straight up and down from your vertex any time you have a y = x2 type of equation.

You can either choose points like I did above on either side of your x of your vertex and create a table, then graph off of that table.

x:     1      2      3      4      5

y:    -1    -4     -5     -4    -1

OR the general rule for graphing parabolas (starting at your vertex)

1) Right 1 and 1a up or down (up if a>0, down if a<0)

     and Left 1 and 1a up or down

  For your equation:

   vertex: (3, -5)

   Right 1 and 1(1) [a for this equation is 1], point: (4,-4)

   Left 1 and 1(1), point:  (2,-4)

2) Right 2 and 4a up or down (up if a>0, down if a<0)

      and Left 2 and 4a up or down

    For your equation:

    vertex: (3, -5)

    Right 2 and 4(1) [a for this equation is 1], point: (5,-1)

    Left 2 and 4(1), point: (1,-1)

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