How to Sketch Graphs for Add Math

A sketch is not a plot. 0606 asks you to sketch, a quick freehand curve showing the right shape with the key features in the right places, not an accurate point-by-point drawing. The marks are for features, intercepts, turning points, asymptotes, so knowing which to show is the whole skill.

Show the features that earn marks

For any sketch, ask what the important features are and label them:

• Axis intercepts. Where does it cross the $x$-axis (set $y = 0$) and the $y$-axis (set $x = 0$)? These are usually the first marks.
• Turning points. For a curve with a maximum or minimum, mark it, often from completing the square or calculus.
• Asymptotes. Reciprocal, exponential and log graphs approach lines they never cross, show them as dashed lines.
• Overall shape and orientation. A positive cubic rises left-to-right; a negative quadratic opens downward. Get the gross shape right first.

Common graph types and their signatures

• Quadratics: a parabola, opening up (positive $x^2$) or down (negative), with a single turning point.
• Cubics: an S-shape (or its reflection), with up to two turning points.
• Modulus graphs: a V-shape that reflects the below-axis part upward.
• Exponential/log: growth or decay curves with a horizontal or vertical asymptote.
• Trig graphs: waves with a stated amplitude and period.

Knowing each type’s signature means you can sketch it from the equation without plotting points.

Label, don’t just draw

An unlabelled curve of the right shape often scores less than a rougher curve with its key coordinates labelled. Write the intercepts and turning points as coordinates on the sketch. The examiner is checking you know where the features are, not that your freehand is neat.

Use transformations to sketch quickly

If you know the graph of $y = f(x)$, you can sketch transformations ($y = f(x) + a$, $y = -f(x)$, etc.) by moving the features, no need to start from scratch. This is fast and mark-efficient.

Sketching is a trainable skill, and a specialist can show your child exactly which features each graph type needs. It’s part of the exam technique the trial class covers. Message us on WhatsApp to book.