Expand the determinant in to find a parabola that

Chapter 3, Problem 36P

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QUESTION:

Expand the determinant in to find a parabola that interpolates the points (1, 3), (2, 3), and (3, 7). Explain why the determinant equation fits a quadratic polynomial of the form y = Ax2 + Bx + C to the three given points (x1, y1), (x2, y2), and (x3, y3).

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QUESTION:

Expand the determinant in to find a parabola that interpolates the points (1, 3), (2, 3), and (3, 7). Explain why the determinant equation fits a quadratic polynomial of the form y = Ax2 + Bx + C to the three given points (x1, y1), (x2, y2), and (x3, y3).

ANSWER:

Solution:-Step 1 of 3Given thatWe have to find a parabola that interpolates the points (1, 3), (2, 3), and (3, 7).

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