Related Topics:

More Lessons for GCSE Maths

Math Worksheets

Examples, solutions, and videos to help GCSE Maths students learn about exponential graphs and reciprocal graphs.

**How to sketch exponential graphs and reciprocal graphs?**

Exponential Functions - Introduction

y = a^{x}, where a > 0
**Sketching exponential graphs (using reflections)**

Examples:

y = e^{-x}

y = -e^{x}
**Sketching exponential graphs (using translations) **

Examples:

y = e^{x} + 2

y = e^{x} - 1

y = e^{x - 2}

y = e^{x + 1}
**Sketching exponential graphs (using stretches) **

Examples:

y = e^{2x}

y = e^{x/2}

y = 2e^{x}

y = 1/2 e^{x}

**GCSE Maths revision Exam paper practice exponential graphs**

GCSE Exam paper practice question for AQA Higher Unit 3 Question 15 - exponential graphs

Example:

1000 bacteria are put into a Petri dish.

After 1 hour there are 2000 bacteria in the dish.

The bacteria continue to double in quantity every hour.

(a) Draw a fully labelled graph to show the number of bacteria in the dish for the first 4 hours.

(b) How many bacteria will be in the dish after 12 hours?

Show your working.

Give your answer to an appropriate degree of accuracy**Sketching Reciprocal graphs of the form y = k/x**
**GCSE Maths - Sketching Cubic, Reciprocal and Exponential Graphs**

brAlgebra - curves A Star Maths

More Lessons for GCSE Maths

Math Worksheets

Examples, solutions, and videos to help GCSE Maths students learn about exponential graphs and reciprocal graphs.

Exponential Functions - Introduction

y = a

Examples:

y = e

y = -e

Examples:

y = e

y = e

y = e

y = e

Examples:

y = e

y = e

y = 2e

y = 1/2 e

GCSE Exam paper practice question for AQA Higher Unit 3 Question 15 - exponential graphs

Example:

1000 bacteria are put into a Petri dish.

After 1 hour there are 2000 bacteria in the dish.

The bacteria continue to double in quantity every hour.

(a) Draw a fully labelled graph to show the number of bacteria in the dish for the first 4 hours.

(b) How many bacteria will be in the dish after 12 hours?

Show your working.

Give your answer to an appropriate degree of accuracy

brAlgebra - curves A Star Maths

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.