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Let p(x,y) be a point on the graph of y= X^2-3

A) Express the distance from P to the point (1,2) as a function of x. Simplify completely.

B) Use your calculator to determine which value of x-yields the smallest d.

  • Pre-calc -

    d = √[(x-1)^2 + (y-2)^2]
    = √[(x-1)^2 + (x^2-3-2)^2]
    = √(x^2-2x+1 + x^4-10x^2+25)
    = √(x^4-9x^2-2x+26)

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