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Positive vs Negative Cubic Shapes

Part of Cubic Graphs — GCSE Mathematics

This diagram covers Positive vs Negative Cubic Shapes within Cubic Graphs for GCSE Mathematics. Revise Cubic Graphs in Graphs for GCSE Mathematics with 11 exam-style questions and 10 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 3 of 10 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

Topic position

Section 3 of 10

Practice

11 questions

Recall

10 flashcards

Positive vs Negative Cubic Shapes

Keep building this topic

Read this section alongside the surrounding pages in Cubic Graphs. That gives you the full topic sequence instead of a single isolated revision point.

Cubic Graph Essentials Key Features of Cubic Graphs The Roller Coaster Curve Drawing a Cubic Graph

Practice Questions for Cubic Graphs

Which of the following best describes the general shape of the graph y = x³?

A. U-shape (parabola) opening upward
B. S-shaped curve rising from bottom-left to top-right
C. Horizontal straight line
D. S-shaped curve falling from top-left to bottom-right

1 markfoundation

Explain how you can tell from the equation of a cubic whether its graph rises or falls as x approaches positive infinity.

2 markshigher

Quick Recall Flashcards

How many roots can a cubic graph have?

A cubic graph can have 1, 2 or 3 roots (x-intercepts). - 3 distinct roots: crosses x-axis three times - 2 roots: touches at one point and crosses at another - 1 root: only crosses once (with a repeated root) Cubics ALWAYS have at least one real root.

What does the graph of y = x³ look like?

A smooth S-shaped curve. Key features: - Passes through the origin (0, 0) - Rises steeply for large positive x - Falls steeply for large negative x - Has a point of inflection at the origin (where it flattens then curves again)

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Cubic Graph Essentials

Key Features of Cubic Graphs