A curve has equation y = 2 3x x 2 . a. Express 2

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A curve has equation y = 2 − 3x − x².

a. Express 2 − 3x − x² in the form a −(x + b)², where a and b are constants.

b. Write down the coordinates of the maximum point on the curve.

c. Find the two values of m for which the line y = mx + 3 is a tangent to the curve y = 2 − 3x − x².

d. For each value of m in part c, find the coordinates of the point where the line touches the curve.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 09, 2023 03:37 AM

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A curve has equation y = 2 3x x 2 . a. Express 2

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a Completing the square we have y 2 3x x2 x2 3x 2 x2 3x 322 322 2 x 322 14 Hence 2 3x x2 can be expr...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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