Introduction Understanding Quadratic Curves
Properties of Quadratic Curves
Table of Contents
- Quadratic Curves in standard form.
- Quadratic curves in general form
- Quadratic Curves in Factorised form.
- Quadratic curves in factorised form
- Quadratic Curves in Complete the Square form.
- Quadratic curves in completing the square format
Quadratic curves in general form
By manipulating the value of [i]a[/i] on the slider ([i]a [math]\ne[/math][/i] 0) , describe how would the quadratic curve change?
By manipulating the value of [i]c[/i] on the slider , describe the impact on the quadratic curve.[i][math][/math][/i]
By manipulating the value of [i]b[/i] on the slider, describe the impact on the quadratic curve.
Quadratic curves in factorised form
By changing the value of [i]a[/i] ([i]a[/i] [math]\ne[/math] 0) on the slider, what do you think is the impact on the quadratic curve?
By changing the value of [i]p[/i] and [i]q[/i] on the sliders, what do you think is the impact on the quadratic curve?
Quadratic curves in completing the square format
What is point [i]A [/i]known as?
By changing the values of [i]h[/i] and [i]k[/i] on the sliders, how does it impact the quadratic curve?
Does the curve always touch the [i]x[/i]-axis?
Bonus Question.
When we change the value of [i]a[/i] on the slider, what are the [b]impacts[/b] on the quadratic curve? Record your observations.
SUMMARY
State the [b]key[/b] features that we can identify from the quadratic curves when it is expressed in (1) general form, (2) factorised form and (3) complete the square form?