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SingaporeAdditional MathematicsQuick questions

Quadratic Functions and Equations

Quick questions on Completing the square and quadratic graphs: N(A)-Level Additional Mathematics

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is completing the square when the coefficient of x squared is 1?
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For x2+bx+cx^2 + bx + c, take half the coefficient of xx, square it, add and subtract it:
What is sign errors in the turning point?
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The turning point is (−p, q)(-p,\ q). If the form is (x+3)2−8(x + 3)^2 - 8, the xx-coordinate is −3-3, not +3+3.
What is q1?
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Express x2+8x+3x^2 + 8x + 3 in the form (x+p)2+q(x + p)^2 + q. [2 marks]
What is q2?
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Write down the turning point and line of symmetry of y=(x−3)2+2y = (x - 3)^2 + 2. [2 marks]
What is q3?
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Express 3x2−12x+53x^2 - 12x + 5 in completed-square form. [3 marks]

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