Last updated on Oct 24, 2026

Using Log Graphs in Modelling (AQA A-Level Mathematics): Quizzes

📚Quizzes

Revision Notes Model Answers Quizzes Flashcards Exam Questions

Using Log Graphs in Modelling

Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

For the logarithmic graph $y = \log_a(x)$ where $a > 1$ , where is the asymptote located?

$x = 0$

For exponential graphs $y = a^x$ , where is the asymptote?

$y = 0$

To sketch $y = \ln(x + 3)$ from $y = \ln(x)$ , which translation is performed?

$(-3, 0)$

For the graph $y = \ln(x + 3)$ , where is the asymptote located?

$x = -3$

From $y = e^x$ to $y = 2e^x$ , what transformation is applied?

Stretch by 2, parallel to $y$ -axis

From $y = 2e^x$ to $y = 2e^{3x}$ , what transformation is applied?

Stretch by $\frac{1}{3}$ , parallel to $x$ -axis

Where does the curve $y = 2 \times 3^x$ intersect the $y$ -axis?

$(0, 2)$

Does the curve $y = 2 \times 3^x$ intersect the $x$ -axis?

No, it approaches zero asymptotically

How does the logarithmic curve $y = \log_a(x)$ behave as $x$ increases?

Starts steep, becomes less steep

For $y = a^x$ where $0 < a < 1$ , how does the curve behave?

Falls exponentially

Explore AQA A-Level Mathematics Revision Notes by Topics

Exponential & Logarithms

Laws of Logarithms

Modelling with Exponentials & Logarithms

Explore AQA A-Level Mathematics Model Answers by Topics

Exponential & Logarithms

Laws of Logarithms

Modelling with Exponentials & Logarithms

Explore AQA A-Level Mathematics Flashcards by Topics

Exponential & Logarithms

Laws of Logarithms

Modelling with Exponentials & Logarithms

Explore AQA A-Level Mathematics Exam Questions by Topics

Exponential & Logarithms

Laws of Logarithms

Modelling with Exponentials & Logarithms

Join 100,000+ A-Level students studying Quizzes with us.

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