book Maths Puzzle Numerical Ability

say you have the equation y = x^3 - 3. How would you solve the y-intercept, the x-intercept and the vertex to this equation?

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book Other Question
what is permutation? Find all these things for a set having 4&5 elements? Find the center (h,k) of the ellipse with the equation
9x^2-18x+4y^2+16y=11

Thanks:)