## Algebraic Functions and Graphs New Topic: Algebraic Functions and Graphs

By the end of this topic you will be able to:

• complete the square for quadratic functions

• recognise the probable form of a function from its graph

• draw graphs of related functions given f(x), f(x) being a simple polynomial or trigonometric function

• know the general features of the graphs of y=ax and y=logax

### 6 Responses

1. Monday 27th August, Periods 2 & 3

Mental warm-up: squaring brackets, e.g. (x + 2)²
Practice factorising then look at quadratic function on graphics calculator.
Look at link between values in trinomial and factors with the graph.
Recap translating the y = x² function.

2. Tuesday 28th August, Period 6

JW to deliver class starter.

Class to work through ‘Completing Square’ exercise while target setting discussions take place.

• A(2,4), B(2,-4) & C(-4,1)
Find the point of intersection of the altitude through C and the median through A. – JW

3. Wednesday 29th August, Period 3

RS to deliver starter.

Final day working through ‘Completing Square’ problems.
Combination of worksheet and p30 Ex1A/B.

• A(0,2), B(4,8), C(7,6) & D(3,0) are the vertices of a quadrilateral.
What type of quadrilateral is it? – RS

4. Thursday 30th August, Period 4

Composite & Inverse Functions Homework due.

CR to deliver starter.

Maxima and minima of quadratic functions.