Last updated on Sep 20, 2026

Completing the Square and Turning Points (VCE SSCE Mathematical Methods): Quizzes

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Completing the square and turning points

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What is the vertex of a parabola in turning point form $y = a(x - h)^2 + k$ ?

$(h, k)$

In $(x + a)^2 = x^2 + 2ax + a^2$ , what is $a^2$ in terms of the middle coefficient?

Square of half the middle coefficient

What is the first step to complete the square for $x^2 + 2x - 3$ ?

Find half of 2 and square it

What is $x^2 + 2x - 3$ in completed square form?

$(x + 1)^2 - 4$

If the coefficient of $x^2$ is not 1, what must you do first?

Factor it out from $x^2$ and $x$ terms

What is a common mistake when factoring out the coefficient of $x^2$ ?

Factoring from all 3 terms

For $y = ax^2 + bx + c$ , what formula gives the axis of symmetry?

$x = -\frac{b}{2a}$

Solving $2x^2 - 3x - 1 = 0$ by completing the square gives which solution?

$x = \frac{3 \pm \sqrt{17}}{4}$

In $y = a(x - h)^2 + k$ , if $a < 0$ , which way does the parabola open?

Downward

For $y = -2x^2 + 12x - 7$ , what is the x-coordinate of the turning point?

3

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

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