GCSE Maths OCR J560

7.01: Graphs of equations and functions

#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+3y = 2x + 3

y=2x2+1y = 2x^2 + 1

Use a table of values to plot other polynomial graphs and reciprocals.

e.g. y=x32xy = x^3 - 2x

y=x+1xy = x + \dfrac{1}{x}

2x+3y=62x + 3y = 6

**Use a table of values to plot exponential graphs.

e.g. y=3×1.1xy = 3×1.1^x**

#7.01c

Recognise and sketch the graphs of simple linear and quadratic funcitons.

e.g. y=2y = 2

x=1x = 1

y=2xy = 2x

y=x2y = x^2

Recognise and sketch graphs of: y=x3y = x^3, y=1xy = \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=kxy = k^x for positive kk. **

#7.01e

Recognise and sketch the graphs of y=sinxy = \sin{x}, y=cosxy = \cos{x} and y=tanxy = \tan{x}.

#7.01f

Recognise and use the equation of a circle with centre at the origin.

6.06
Sequences
7.02
Straight line graphs