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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

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

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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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

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