The graph of $y = f(x)$ is shown on the grid below - Edexcel - GCSE Maths - Question 23 - 2022 - Paper 3
Question 23
The graph of $y = f(x)$ is shown on the grid below.
(a) On the grid above, sketch the graph of $y = f(x + 2)$.
(b) Write down an equation of graph B.
On this grid... show full transcript
Worked Solution & Example Answer:The graph of $y = f(x)$ is shown on the grid below - Edexcel - GCSE Maths - Question 23 - 2022 - Paper 3
Step 1
On the grid above, sketch the graph of $y = f(x + 2)$
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Answer
To sketch the graph of y=f(x+2), we need to perform a horizontal shift of the original graph y=f(x) to the left by 2 units. This means every point on the graph will move 2 units to the left, affecting the x-coordinates while the y-coordinates remain unchanged. For example, if the original graph has points at (0, y), it will now have points at (-2, y). Make sure to clearly show this transformation on the grid.
Step 2
Write down an equation of graph B
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Answer
Graph B, being a reflection of graph A across the x-axis, can be represented by the equation of graph A multiplied by -1. Therefore, if graph A is given by y=g(x), then graph B is represented by the equation y=−g(x).
