#7.01a
Work with x- and y-coordinates in all four quadrants.
#7.01b
Use a table of values to plot graphs of linear and quadratic functions.
e.g. \(y = 2x + 3\)
\(y = 2x^2 + 1\)
Use a table of values to plot other polynomial graphs and reciprocals.
e.g. \(y = x^3 - 2x\)
\(y = x + \dfrac{1}{x}\)
\(2x + 3y = 6\)
Use a table of values to plot exponential graphs.
e.g. \(y = 3×1.1^x\)
#7.01c
Recognise and sketch the graphs of simple linear and quadratic funcitons.
e.g. \(y = 2\)
\(x = 1\)
\(y = 2x\)
\(y = x^2\)
Recognise and sketch graphs of: \(y = x^3\), \(y = \dfrac{1}{x}\).
Identify intercepts and, using symmetry, the turning point of graphs of quadratic functions.
Find the roots of a quadratic equation algebraically.
Sketch graphs of quadratic functions, identifying the turning point by completing the square.
#7.01d
Recognise and sketch graphs of exponential functions in the form \(y = k^x\) for positive \(k\).
#7.01e
Recognise and sketch the graphs of \(y = \sin{x}\), \(y = \cos{x}\) and \(y = \tan{x}\).
#7.01f
Recognise and use the equation of a circle with centre at the origin.