CAIE A-Level Mathematics 1.1.1 Completing the square

Practise completing the square to rewrite quadratics, locate vertices, decide ranges and link a curve to a tangent horizontal line.

Exam points

rewrite ax^2 + bx + c as a(x+b)^2+c and identify each constant correctly
use the completed-square form to find a vertex, range, or value of k for intersections

[Maximum number: 2]

Express $3 y^{2}-12 y-15$ in the form $3(y+a)^{2}+b$ , where a and b are constants.

$3(y-2)^{2}-27$ or a=-2, b=-27

B1 B1

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