Last updated on Sep 20, 2026

Determining the Rule for a Parabola (VCE SSCE Mathematical Methods): Flashcards

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Determining the Rule for a Parabola

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Use for factored form $y = a(x - e)(x - f)$

When two x-intercepts are known

$e$ and $f$ in factored form $y = a(x - e)(x - f)$

x-intercepts (where parabola crosses x-axis)

Use for vertex form $y = a(x - h)^2 + k$

When turning point and one other point are known

$(h, k)$ in vertex form $y = a(x - h)^2 + k$

Coordinates of the turning point (vertex)

Use for general form $y = ax^2 + bx + c$

When coordinates of three points are known

$c$ in general form $y = ax^2 + bx + c$

y-intercept (where parabola crosses y-axis)

Meaning of positive $a$ in parabola equation

Parabola opens upward

Meaning of negative $a$ in parabola equation

Parabola opens downward

Factor form when x-intercept is at $e$

$(x - e)$

Form when parabola symmetric about y-axis

$y = ax^2 + c$ (where $b = 0$ )

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Determining the Rule for a Parabola (VCE SSCE Mathematical Methods): Flashcards

Practise the cards

Use for factored form y=a(x−e)(x−f)y = a(x - e)(x - f)y=a(x−e)(x−f)

eee and fff in factored form y=a(x−e)(x−f)y = a(x - e)(x - f)y=a(x−e)(x−f)

Use for vertex form y=a(x−h)2+ky = a(x - h)^2 + ky=a(x−h)2+k

(h,k)(h, k)(h,k) in vertex form y=a(x−h)2+ky = a(x - h)^2 + ky=a(x−h)2+k

Use for general form y=ax2+bx+cy = ax^2 + bx + cy=ax2+bx+c

ccc in general form y=ax2+bx+cy = ax^2 + bx + cy=ax2+bx+c

Meaning of positive aaa in parabola equation

Meaning of negative aaa in parabola equation

Factor form when x-intercept is at eee

Form when parabola symmetric about y-axis

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Solving Cubic Equations

Cubic Functions of a Particular Form

Graphs of Factorised Cubic Functions

Solving Cubic Inequalities

Families of Cubic Polynomial Functions

Applications of Polynomial Functions

The Bisection Method

Quadratic Functions

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Solving Cubic Equations

Cubic Functions of a Particular Form

Graphs of Factorised Cubic Functions

Solving Cubic Inequalities

Families of Cubic Polynomial Functions

Applications of Polynomial Functions

The Bisection Method

Quadratic Functions

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Explore VCE SSCE Mathematical Methods Quizzes by Topics

Solving Cubic Equations

Cubic Functions of a Particular Form

Graphs of Factorised Cubic Functions

Solving Cubic Inequalities

Families of Cubic Polynomial Functions

Applications of Polynomial Functions

The Bisection Method

Quadratic Functions

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Use for factored form $y = a(x - e)(x - f)$

$e$ and $f$ in factored form $y = a(x - e)(x - f)$

Use for vertex form $y = a(x - h)^2 + k$

$(h, k)$ in vertex form $y = a(x - h)^2 + k$

Use for general form $y = ax^2 + bx + c$

$c$ in general form $y = ax^2 + bx + c$

Meaning of positive $a$ in parabola equation

Meaning of negative $a$ in parabola equation

Factor form when x-intercept is at $e$