Write the following quadratics in the form by completing the square
MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Write the following quadratics in the form y=(x−h)2+k by completing the square. Hence sketch each function, stating the coordinates of the vertex.
(1) (a) y=x2−2x+3
(2) (b) y=x2+4x−2
(3) (c) y=x2−4x
(4) (d) y=x2+3x
(5) (e) y=x2+5x−2
(6) (f) y=x2−3x+2
(7) (g) y=x2−6x+5
(8) (h) y=x2+8x−2
(9) (i) y=x2−5x+1