Last updated on Sep 22, 2026

Exponential and Logarithmic Functions (HSC SSCE Mathematics Advanced): Flashcards

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Exponential and Logarithmic Functions

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Horizontal asymptote of $g(x) = a^{x-h} + b$

$y = b$

If $h > 0$ in translation, graph shifts...

Right

If $b > 0$ in translation, graph shifts...

Reflect $f(x) = a^x$ over x-axis, equation is...

$-a^x$

Reflect $f(x) = a^x$ over y-axis, equation is...

$a^{-x}$

Vertical asymptote of $g(x) = \log_a(x - h) + b$

$x = h$

Domain of $g(x) = \log_a(x - h) + b$

$(h, \infty)$

If $|l| > 1$ in dilation, graph...

Stretches vertically

Horizontal asymptote of $g(x) = la^x$

$y = 0$

Vertical asymptote of $g(x) = l\log_a(x)$

$x = 0$

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Exponential and Logarithmic Functions (HSC SSCE Mathematics Advanced): Flashcards

Practise the cards

Horizontal asymptote of g(x)=ax−h+bg(x) = a^{x-h} + bg(x)=ax−h+b

If h>0h > 0h>0 in translation, graph shifts...

If b>0b > 0b>0 in translation, graph shifts...

Reflect f(x)=axf(x) = a^xf(x)=ax over x-axis, equation is...

Reflect f(x)=axf(x) = a^xf(x)=ax over y-axis, equation is...

Vertical asymptote of g(x)=log⁡a(x−h)+bg(x) = \log_a(x - h) + bg(x)=loga​(x−h)+b

Domain of g(x)=log⁡a(x−h)+bg(x) = \log_a(x - h) + bg(x)=loga​(x−h)+b

If ∣l∣>1|l| > 1∣l∣>1 in dilation, graph...

Horizontal asymptote of g(x)=laxg(x) = la^xg(x)=lax

Vertical asymptote of g(x)=llog⁡a(x)g(x) = l\log_a(x)g(x)=lloga​(x)

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Quizzes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Horizontal asymptote of $g(x) = a^{x-h} + b$

If $h > 0$ in translation, graph shifts...

If $b > 0$ in translation, graph shifts...

Reflect $f(x) = a^x$ over x-axis, equation is...

Reflect $f(x) = a^x$ over y-axis, equation is...

Vertical asymptote of $g(x) = \log_a(x - h) + b$

Domain of $g(x) = \log_a(x - h) + b$

If $|l| > 1$ in dilation, graph...

Horizontal asymptote of $g(x) = la^x$

Vertical asymptote of $g(x) = l\log_a(x)$