Without moving the sliders for b and c, adjust a and observe how the curve changes.[br][br]How does the value of [b][i]a[/i][/b] affect the curve?

Keep the value of [b][i]a = 1[/i][/b] and [b][i]c = 0[/i][/b]. Move the slider for b and observe how the curve changes.[br][br]How does the value of [b][i]b[/i][/b] affect the curve?

Keep the value of [b][i]a = 1[/i][/b] and [b][i]b = -2[/i][/b]. Move the slider for b and observe how the curve changes.[br][br]How does the value of [b][i]c [/i][/b]affect the curve?

Move the sliders to change the values of a, b and c.[br]What are the minimum and maximum number of roots for a quadratic?[br]

[u]The Quadratic formula[/u]: (Tick both boxes in the applet)[br]The quadratic formula gives the roots of a quadratic equation. [br]Move the sliders to change the values of a, b and c.[br]Now compare the answers of the formula to the points on the curve.[br]What do you notice?[br][br]

Give an example of a quadratic expression that results in "two repeated roots".[br]Try to factorise the expression.[br][br]

What happens to the calculation for the quadratic formula when there are "no real roots"?