Drawing graphs and solving equations graphically
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The teaching part (1 min) is free to watch. A free account opens the whole lecture: 8 practice questions, the mistakes that lose marks, the full-marks tip, a one-card summary and a quick quiz.
What this lecture covers
- A picture of an equation
- A table of values
Read the transcript of the teaching part
Last time
Before we start: last time, in Speed-time graphs, you learned these points. Here they are again on one card. Keep them in mind, because today builds on them.
A picture of an equation
A ball is thrown and rises and falls. Its path is a curve, and the curve is the picture of an equation. Where the curve crosses the x-axis, the equation equals zero. Today you plot such curves from a table, read answers off them, and solve equations by drawing a second line.
A table of values
Choose x from minus two to four. For each, square it, subtract two x, and subtract three. Minus two gives five, minus one gives zero, zero gives minus three. One gives minus four, two gives minus three, three gives zero, four gives five. The y values fall, then rise: the table is symmetric about x equals one.
How often it comes up
How often Cambridge has asked each part, counted by ExamYard from every past paper in its question bank: Drawing and using graphs of functions.
The whole chapter: Graphs of Functions and Sketching Curves.
Chapter 15: Graphs of functions
- Drawing graphs and solving equations graphically 5 min
- Sketching curves, tangents and turning points 6 min
Also for IGCSE Maths 0580
Which topics come up most in IGCSE Maths 0580 past papers, counted from every paper since 2004.