GCSE Maths Specification

OCR J560

Section 7.01: Graphs of equations and functions

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#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.