Exam Style Question on Graphs
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 228. This question is similar to one that appeared in a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.
(a) Write \(2x^2+8x+27\) in the form \(a(x+b)^2+c\) where \(a\), \(b\), and \(c\) are integers, by 'completing the square'
(b) Hence, or otherwise, find the line of symmetry of the graph of \(y = 2x^2+8x+27\)
(c) Hence, or otherwise, find the turning point of the graph of \(y = 2x^2+8x+27\)
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2019 Transum Mathematics :: For more exam type questions and worked solutions go to Transum.org/Maths/Exam/