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Edexcel IAL Mathematics P1.1.12 graph transformations

Direct questions ask what happens to named points and regions after shifts or stretches, so keep coordinate changes and scale factors explicit.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • Map key coordinates under transformations such as y = f(x − π/6) or y = −1/2f(x).
  • Sketch transformed graphs and label the new positions of stated points.
  • Use horizontal or vertical scale factors to adjust bounded areas from a previous result.

P1.1.12 - Effect of simple question 1

[Maximum number: 3]

On a separate diagram, sketch the curve with equation

y=−kx+kk>0x≠0y=-\frac{k}{x}+k \quad k>0 \quad x \neq 0

stating the coordinates of the point of intersection with the x-axis and, in terms of k, the equation of the horizontal asymptote.

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