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Graphing Functions in Standard Form, Factored Form, and Vertex FormName:Date:Hour:Standard Formfx=ax2+bx+cax2:y-intercept:bx:axis of symmetry:c:vertex:XYright889000Example 1: Graph fx=x2-2x+2.Factored Form (or Intercept Form)fx=a(x-p)(x-q)a:p and q:Vertex: Find the axis of symmetry and use it to find the vertex coordinates.right1397000Example 2: Graph fx=(x-3)(x-1).3796886000Example 3: Graph fx=-(x-6)(x-2).Vertex Formfx=a(x-h)2+ka:h:(h,k):k:*Notice the signs! There is naturally a negative sign in front of h and a positive sign in front of k.right1079500Example 4: Graph fx=(x-2)2+1.XYright889000Example 5: Graph fx=-x+32-2.XY ................
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