This graph plotting challenge is intended to familiarise students with the equation of a straight line. There are five challenges each with between three and six straight lines in a pattern. In order to proceed to the next challenge the correct equation should be entered into the boxes provided.
The graph of any quadratic is a parabola and the equation can be written in the form: y = ax^{2} + bx + cIt is normal to write the terms in descending powers of x. You are encouraged to use the Graph Plotter to investigate how the values of a, b and c affect the shape and position of the graph. It is probably more convenient to consider the equations in this challenge in the 'completing the square' format: y = (x + d)^{2} + eThe Graph Plotter can also be used to investigate how the values of d and e affect the shape and position of this graph. |
For example the graph shown to the left is the basic parabola with equation: y = x^{2}Shifting this graph 3 units to the right gives: y = (x - 3)^{2}Shifting the basic parabola 5 units up gives: y = x^{2} + 5Stretching the basic parabola 2 units in the positive y direction gives: y = 2x^{2} |
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The graph plotting software used in this page was adapted from code written by Richard Ye | GitHub Development (version 0.4)