Quadratic Equations

Quadratic relationship

Identifying Key Features of Quadratics

Transformation and Quadratic Graphs

Transformations and Quadratic Equtions

Solving basic quadratic equations

Solve by Factorisation I

Graphing Quadratic Functions in Factorised Form

Solving by factorisation II

Solving by completing the square I

Graphing Quadratic Functions in Turning Point Form

Using Vertex Formula

Solving using the quadratic formula

Application Problems

Solving quadratics using various methods

Simultaneous, linear and quadratic equations

Non-Monic Quadratic Equations

Solving by completing the square II

Graphing Quadratic Functions in General Form

Variable substitution Method

The Number and Nature of Solutions

Applications of Quadratic Functions using graphs

Further Applications

Solve rational equations that result in quadratics

Quadratic Graphing Review

Sum and product of roots

Quadratic Identities

Maximum and Minimum Values of Quadratic Equations

Applications of Maximisation and Minimisation

Solve Quadratic Inequalities

Stage 4 - Stage 5

Using Vertex Formula

Interactive practice questions

Consider the parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a\ne0$a≠0

Fill in the gap to make the statement true.

The $x$x-coordinate of the vertex of the parabola occurs at $x=\editable{}$x=. The $y$y-coordinate of the vertex is found by substituting this $x$x-value into the parabola's equation and evaluating the function at this value of $x$x.

Easy

1min

What is the line $x=\frac{-b}{2a}$x=−b2a on the parabola defined by the equation $y=ax^2+bx+c$y=ax2+bx+c ($a\ne0$a≠0)?

Easy

< 1min

Consider the curve $y=x^2+6x+4$y=x2+6x+4.

Easy

3min

Consider the function $P\left(x\right)=x^2-4x+2$P(x)=x2−4x+2.

Easy

2min

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