Sketching Graphs (VCE SSCE Mathematical Methods): Flashcards

📚Flashcards
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Sketching graphs
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Term for horizontal shifts in trig functions

Phase shifts

Name of ε\varepsilon in y=asin⁡n(t±ε)y = a\sin n(t \pm \varepsilon)

Phase

Direction of shift for y=sin⁡(t−ε)y = \sin(t - \varepsilon)

Right by ε\varepsilon units

Direction of shift for y=sin⁡(t+ε)y = \sin(t + \varepsilon)

Left by ε\varepsilon units

Period of y=asin⁡(nt)y = a\sin(nt) or y=acos⁡(nt)y = a\cos(nt)

2πn\frac{2\pi}{n}

What ∣a∣|a| represents in y=asin⁡(nt)y = a\sin(nt)

Amplitude

Range of y=asin⁡(nt)y = a\sin(nt) without vertical shift

[−∣a∣,∣a∣][-|a|, |a|]

Range of y=asin⁡(nt)+by = a\sin(nt) + b

[−∣a∣+b,∣a∣+b][-|a| + b, |a| + b]

Effect of +b+b in y=asin⁡(nt)+by = a\sin(nt) + b

Shifts graph up by bb units

Method to find x-intercepts of trig function

Set y=0y = 0 and solve

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Measuring Angles in Degrees and Radians

Defining Circular Functions: Sine, Cosine, and Tangent

Symmetry Properties and Values of Circular Functions

Further Symmetry Properties and the Pythagorean Identity

Graphs of Sine and Cosine

Solution of Trigonometric Equations

Sketching Graphs

Addition of Ordinates for Circular Functions

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Show more

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Measuring Angles in Degrees and Radians

Defining Circular Functions: Sine, Cosine, and Tangent

Symmetry Properties and Values of Circular Functions

Further Symmetry Properties and the Pythagorean Identity

Graphs of Sine and Cosine

Solution of Trigonometric Equations

Sketching Graphs

Addition of Ordinates for Circular Functions

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Show more

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Explore VCE SSCE Mathematical Methods Quizzes by Topics

Measuring Angles in Degrees and Radians

Defining Circular Functions: Sine, Cosine, and Tangent

Symmetry Properties and Values of Circular Functions

Further Symmetry Properties and the Pythagorean Identity

Graphs of Sine and Cosine

Solution of Trigonometric Equations

Sketching Graphs

Addition of Ordinates for Circular Functions

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Show more

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Measuring Angles in Degrees and Radians

Defining Circular Functions: Sine, Cosine, and Tangent

Symmetry Properties and Values of Circular Functions

Further Symmetry Properties and the Pythagorean Identity

Graphs of Sine and Cosine

Solution of Trigonometric Equations

Sketching Graphs

Addition of Ordinates for Circular Functions

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Show more

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Join 100,000+ SSCE students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.