Edexcel A-Level Mathematics AS P1.1.12 Effect of Simple Questions

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

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.

[Maximum number: 3]

On a separate diagram, sketch the curve with equation

y=-\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.

Figure for Answer to Question Edexcel A-Level Mathematics AS P1.1.12 Effect of Simple Questions question 1 — Edexcel A-Level Mathematics AS

(b) Note on EPEN it is M1B1A1. We are marking this B1ftB1B1

B1ft For attempting to translate their graph from part (a) up (or a correct graph if (a) is incorrect)

B1 For a correct intercept stated (or allow $1, \frac{k}{k}$ or (1,0) marked on the correct axis with the curve passing through this) OR y=k stated. Do not allow just k to be marked on the line of the asymptote.

B1 For a correct intercept stated (or allow $1, \frac{k}{k}$ or (1,0) marked on the correct axis with the curve passing through this) AND y=k stated. Do not allow just k to be marked on the line of the asymptote.

Note if they have a contradiction between what is stated and what is written on the graph then the graph takes precedence.

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Edexcel A-Level Mathematics AS P1.1.12 Effect of Simple Questions question 1