math
posted by jackk
PLease help!
anyy would be appreciated !thx
what is an example of a quadratic function that touches its axis and also its reciprocal?
discuss about the vertical asymptotes of the reciprocal an why they occur?
what can we say about the vertex of the quadratic and corresponding feature of the reciprocal?

drwls
What do you mean by "touching its axis?" Intersecting the y axis? the x axis? The axes are not properties of the function. Then you say "touching its reciprocal" do you mean the function equals its reciprocal somewhere?
Consider the function
y = (x1)^2 1 = x^2 2x
It crosses the y axis (x=0) at y = 0
It crosses the x axis (y=0) at x=0 and x=2
The reciprocal is 1/[x(x2)].
The function equals the reciprocal at
[x(x2)]^2 = 1
x(x2)= +1 or 1
x = 1, 1 + sqrt2
The function has a "vertex" minimum at x=1 and the reciprocal has a maximum there
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