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Topic: 2D Representations of 3D Shapes; Drawing and Constructing Shapes; Loci (Higher - Unit 3)

Specification References: N6.10h

N6.10h Construct the graphs of simple loci.


Candidates should be able to:

  • Recognise, sketch and draw the graphs of functions defined by spatial conditions
  • Understand and use terms such as locus, parallel and equidistant in this context

Notes

Candidates will be expected to recognise that the locus of all points meeting certain conditions can be represented by a graph and they should be able to write down or work out the equation of that graph.

Although the equation of a circle is not required, candidates should know that the locus of all points that are a given distance from a single point is a circle and may be asked to sketch or draw this.

In questions, a grid will be provided.

Examples

    1. Draw the graph of the set of points which are equidistant from the x- and y-axes.
    2. Write down the equation of your graph.

view more examples

    1. The y coordinate of point P is twice its x coordinate.
      Write down one possible pair of coordinates for point P.
    2. On the grid, draw the graph of the set of points P.
    3. Give the equation on the set of points P.
  1. Describe the locus of points that are equidistant from the x axis and the line y = 10