Chapter 7.1
Linear graphs (all forms: y=mx+c, ax+by=c)
Plot linear equations in standard, slope-intercept, and general forms.
Chapters16
Linear, quadratic, cubic, exponential, and transformations.
Time invested13 hrs
Approximate guided learning.
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Chapter 7.2
Finding equations of lines
Determine line equations from slope, intercepts, and two-point methods.
Chapter 7.3
Parallel and perpendicular lines
Use gradients to identify and construct parallel and perpendicular lines.
Chapter 7.4
Quadratic graphs (plotting and sketching)
Plot parabolas and sketch using key features like vertex and intercepts.
Chapter 7.5
Cubic graphs
Understand cubic functions, turning points, and sketch from equations.
Chapter 7.6
Reciprocal graphs (y = k/x)
Plot reciprocal functions with asymptotes and analyse their properties.
Chapter 7.7
Exponential graphs
Explore exponential growth and decay, sketch functions, and analyse bases.
Chapter 7.8
Circle graphs and equations
Understand circle equations and relationships between centre, radius, and tangents.
Chapter 7.9
Graph transformations (translations)
Apply vertical and horizontal translations to any function.
Chapter 7.10
Graph transformations (reflections)
Use reflections in x and y axes to transform function graphs.
Chapter 7.11
Graph transformations (stretches)
Apply vertical and horizontal stretches and compressions.
Chapter 7.12
Combined transformations
Chain multiple transformations (translations, reflections, stretches).
Chapter 7.13
Distance-time graphs (complex)
Analyse complex motion scenarios with varying speeds and stationary periods.
Chapter 7.14
Velocity-time graphs
Use gradients for acceleration and areas for distance in motion problems.
Chapter 7.15
Real-life graphs
Interpret graphs from science, economics, and everyday contexts.
Chapter 7.16
Graphical problem-solving
Solve systems and equations graphically with real-world applications.
Next steps
Ready to explore transformations further? Revisit Section 6 for sequences, or progress to Section 8 for function notation and composition.