Completing the square
Use the sliders to change the values of b and c in the quadratic expression x^2+2bx+c.[br]The number of small blue squares represents the value of c. Decide if there are too many or not enough blue squares to complete the outlined red square.
Complete the square for each of these quadratic expressions then use the apllet to check:[br]1. x^2+4x+11[br]2. x^2+6x+5[br]3. x^2+10x+13[br]4. x^2+8x+23[br]5. x^2+2x+7
Transforming the Quadratic Graph
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The following applet is to enable you to recognise the implications of changing variables in a function y=a(x+b)^2+c. We looked at finding the maximum and minimum points using completing the square last lesson. Use this to generate an explanation as to what happens when we change a, b or c. |
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What happens to the shape of the curve when a,b or c is changed? What happens to the minimum/maximum point of the curve when a) a is positive or negative? b) b is changed positively or negatively? c) c is changed positively or negatively? |