Let \( y=f(x) \) be a parabola, having its axis parallel to \( \mat...

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Let \( y=f(x) \) be a parabola, having its axis parallel to
\( \mathrm{P} \) the \( y \)-axis, which is touched by the line \( y=x \) at \( x=1 \).

W Then:
(1) \( 2 f(0)=1-f^{\prime}(0) \)
(2) \( f(0)+f^{\prime}(0)+f^{\prime}(0)=1 \)
(3) \( f(1)=1 \)
(4) \( f^{\prime}(0)=f^{\prime}(1) \)
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