Exponential and Reciprocal Graphs

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

• Show Step-by-step Solutions

Sketching exponential graphs (using reflections)
Examples:
y = e^-x
y = -e^x

• Show Step-by-step Solutions

Sketching exponential graphs (using translations)
Examples:
y = e^x + 2
y = e^x - 1
y = e^{x - 2}
y = e^{x + 1}

• Show Step-by-step Solutions

Sketching exponential graphs (using stretches)
Examples:
y = e^2x
y = e^x/2
y = 2e^x
y = 1/2 e^x

• Show Step-by-step Solutions

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

• Show Step-by-step Solutions

Sketching Reciprocal graphs of the form y = k/x

• Show Step-by-step Solutions

GCSE Maths - Sketching Cubic, Reciprocal and Exponential Graphs
brAlgebra - curves A Star Maths

• Show Step-by-step Solutions

Check out our most popular games!

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