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The graph of the curve C with equation $y = f(x)$ is transformed to give the graph of the curve S with equation $y = -(x - 3)$ - Edexcel - GCSE Maths - Question 17 - 2019 - Paper 3

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The-graph-of-the-curve-C-with-equation-$y-=-f(x)$-is-transformed-to-give-the-graph-of-the-curve-S-with-equation-$y-=--(x---3)$-Edexcel-GCSE Maths-Question 17-2019-Paper 3.png

The graph of the curve C with equation $y = f(x)$ is transformed to give the graph of the curve S with equation $y = -(x - 3)$. The point on C with coordinates (7, ... show full transcript

Worked Solution & Example Answer:The graph of the curve C with equation $y = f(x)$ is transformed to give the graph of the curve S with equation $y = -(x - 3)$ - Edexcel - GCSE Maths - Question 17 - 2019 - Paper 3

Step 1

Determine the transformation of the curve

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Answer

The equation of curve S, y=−(x−3)y = -(x - 3), indicates that the graph undergoes a reflection in the x-axis (due to the negative sign) and a translation 3 units to the right.

Step 2

Transform the coordinates from C to S

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Answer

The original coordinates on C are (7, 2). First, we translate these coordinates right by 3 units:

  • New x-coordinate: (7 + 3 = 10)

Then we reflect the y-coordinate in the x-axis, which changes the sign:

  • New y-coordinate: (-2)

Thus, the coordinates of Q, after applying both transformations, are (10, -2).

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