Further Mathematics Support Programme

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Further Mathematics Support Programme

Quadratic Functions and Expressions Let Maths take you Further…

All, some or none. For each question there are 5 related statements All, some or none? For each question there are 5 related statements. In each case decide which of them are true. 1) The quadratic y= x2 – 2x – 3: a. rearranges to y= (x– 1)2 – 2 d. has an axis of symmetry at x = 1 b. has a y intercept at -3 e. has a minimum value of -3 c. factorises to y=(x-3)(x+1) 2) The quadratic y= (x+1)2 +2: a. rearranges to y=(x+1)(x+2) d. has an axis of symmetry b. has a minimum value of 2 e. doesn’t cross the x axis c. always has positive values for y 3) All quadratics: a. have an axis of symmetry d. cross the y axis once b. cross the x axis e. have a minimum value c. can be arranged to a completed square format Challenge: For any statements that are false in question 3, give counter examples and explain when and why they are false.