AQA Paper 3 2018 June — Question 4 3 marks

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2018
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicModulus function
TypeGraph y = a|bx+c| + d: identify vertex and intercepts
DifficultyEasy -1.2 This is a straightforward graph sketching question requiring only basic knowledge of absolute value transformations. Students need to identify the V-shape with vertex at x = -a/2, y-intercept at a, and x-intercept at -a/2, all of which follow directly from the definition of |2x + a|. It's simpler than average A-level questions as it involves no calculus, no problem-solving, and is a standard textbook exercise.
Spec1.02l Modulus function: notation, relations, equations and inequalities1.02s Modulus graphs: sketch graph of |ax+b|

Sketch the graph of \(y = |2x + a|\), where \(a\) is a positive constant. Show clearly where the graph intersects the axes. [3 marks] \includegraphics{figure_4}

Question 4:
AnswerMarks Guidance
4Draws the correct V-shape, nothing
below x-axisAO1.2 M1
a
Intersects negative x-axis with −
2
AnswerMarks Guidance
labelledAO1.1b A1
Intersects positive y-axis with a
AnswerMarks Guidance
labelledAO1.1b A1
Total3
QMarking Instructions AO
Question 4:
4 | Draws the correct V-shape, nothing
below x-axis | AO1.2 | M1
a
Intersects negative x-axis with −
2
labelled | AO1.1b | A1
Intersects positive y-axis with a
labelled | AO1.1b | A1
Total | 3
Q | Marking Instructions | AO | Marks | Typical Solution
Sketch the graph of $y = |2x + a|$, where $a$ is a positive constant.

Show clearly where the graph intersects the axes.
[3 marks]

\includegraphics{figure_4}

\hfill \mbox{\textit{AQA Paper 3 2018 Q4 [3]}}