18M.1.SL.TZ2.S_5

pestleMathematicsAISLPaper 118M· ahl-2-8-transformations-of-graphs-composite-transformationssource ↗

The following diagram shows the graph of a function $f$ , for −4 ≤ x ≤ 2.

On the same axes, sketch the graph of $f\left( { - x} \right)$ .

[2]

Another function, $g$ , can be written in the form $g\left( x \right) = a \times f\left( {x + b} \right)$ . The following diagram shows the graph of $g$ .

Write down the value of a and of b.

[4]

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

A2 N2
[2 marks]

recognizing horizontal shift/translation of 1 unit (M1)

eg b = 1, moved 1 right

recognizing vertical stretch/dilation with scale factor 2 (M1)

eg a = 2, y ×(−2)

a = −2, b = −1 A1A1 N2N2

[4 marks]

Examiners’ report

[N/A]