sketch the graph of y=x^3and hence draw the graph of y=(x-1)^3-2
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y = (x – 1)(x + 3) = x2 – x + 3x – 3 = 0 y = x2 + 2x – 3 Draw the parabola using the points (-4, 5), (-3, 0), (-2, -3), (-1,-4), (0, -3), (1, 0), (2, 5), (3, 12), (4, 21) To solve the equation x2 – x – 6 = 0, subtract x2 – x – 6 = 0 from y = x2 – 2x – 3. Plotting the points (-2, -3), (-1, 0), (0, 3), (2, 9), we get a straight line. The points of intersection of the parabola with the straight line gives the roots of the equation. The co-ordinates of the points of intersection forms the solution set. ∴ Solution {-2, 3}Read more on Sarthaks.com - https://www.sarthaks.com/941232/draw-the-graph-of-y-x-1-x-3-and-hence-solve-x-2-x-6-0
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