The graph of $y = f(x)$ is shown on the grid below - Edexcel - GCSE Maths - Question 19 - 2018 - Paper 1
Question 19
The graph of $y = f(x)$ is shown on the grid below.
(a) On the grid above, sketch the graph of $y = f(x - 2)$.
On the grid, graph A has been reflected to give grap... show full transcript
Worked Solution & Example Answer:The graph of $y = f(x)$ is shown on the grid below - Edexcel - GCSE Maths - Question 19 - 2018 - Paper 1
Step 1
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 translation of the original graph of y=f(x) to the right by 2 units. This means that every point on the original graph will move 2 units to the right. For example, if a point on the graph of y=f(x) was at (1, 2), after the transformation, it will be at (3, 2). Ensure you accurately reflect this translation in your sketch.
Step 2
Write down the equation of graph B
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Answer
Graph B is the reflection of graph A across the x-axis. If the equation of graph A is y=g(x), the equation for graph B is given by:
y=−g(x)
This means that for every point (x, y) on graph A, the corresponding point on graph B will be (x, -y).
