Question 5 - A-Level Maths

Exam Board	OCR
Module	H240/01 (Pure Mathematics)
Year	2022
Session	June
Topic	Exponential Equations & Modelling

The graph of \(y = 2 ^ { x }\) can be transformed to the graph of \(y = 2 ^ { x + 4 }\) either by a translation or by a stretch.
1. Give full details of the translation.
2. Give full details of the stretch.
In this question you must show detailed reasoning. Solve the equation \(\log _ { 2 } ( 8 x ) = 1 - \log _ { 2 } ( 1 - x )\).