Year 11 functions and graph transformations quiz to download as PDF

This Year 11 functions and graph transformations quiz has 10 short questions for pupils aged 15-16. Type your answer, check it straight away and read the explanation when you get one wrong.

Year 11 functions and graph transformations quiz: the 10 questions

(Higher) \(f(x)=x^2-3\). Find \(f(5)\).
(Higher) \(f(x)=2x+1\). Find \(f^{-1}(x)\).
(Higher) In fg(x), which function is applied first?
(Higher) Name the transformation: \(y=f(-x)\).
(Higher) \(f(x)=3x\), \(g(x)=x+2\). Find \(gf(1)\).
(Higher) What are the coordinates where \(y=2^x\) crosses the \(y\)-axis?
(Higher) Translate \(y=x^2\) by 3 units up. Write the new equation.
(Higher) \(f(x)=\dfrac4x\). Find \(f(8)\).
(Higher) \(f(x)=x+5\). Find \(f^{-1}(9)\).
(Higher) Name the shape of the graph \(y=\dfrac1x\).

How to use this Year 11 functions and graph transformations quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the functions and graph transformations lesson and try again later. After that, try the multiple choice questions or the functions and graph transformations worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.