1,043 prompts matching "IGCSE Additional Maths Y10: Sketching a quadratic from its vertex form — Spot My"
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Worked Example: The product of the roots as c over a
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Show All Working: Roots equal in magnitude but opposite in sign
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Common Mistakes: Roots that are reciprocals of one another
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Final Revision: One root twice the other, and what that gives
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Explain Back: The value of alpha minus beta, all squared
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Common Mistakes: A symmetric function needing the sum and product twice over
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Final Revision: Using a symmetric function to find an unknown coefficient
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Explain Back: Writing the answers as ordered pairs
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Show All Working: A simultaneous pair in which the second equation is a circle
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Final Revision: Checking both solutions in both equations
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Worked Example: The discriminant used as the test for intersection
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Explain Back: The condition for the line never to meet the curve
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Show All Working: The point of contact when a line touches a curve
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