**"Quadratic equations"**

## Years 10 – 12 Graphing Quadratic Equations

*By Kwethemba Moyo On 15 October, 2019 · Leave a Comment*

Graph $y={ x }^{ 2 }-2x-1$ .

1. What type of an equation is this?

2. Remember the general form of an equation of this nature: $y={a x }^{ 2 }-bx-c$

When $a > 0$ the graph is $\cup$ shaped and when $a < 0$ it is $\cap$ shaped. What is the situation in our problem?

[…]

## Years 10 – 12 Quadratic Equations

*By Kwethemba Moyo On 14 September, 2019 · Leave a Comment*

John plans to get the minimum possible Diamond Razor Mesh fencing material, as a security measure to discourage entry into his dam. He finds out that the rectangular shape drawn around the dam picture can help. The dimensions are given in algebraic form, in metres. Find an expression for the area of this […]

## UPPER SECONDARY FC5 TRANSFORMATION OF FUNCTIONS

*By toni On 4 September, 2018 · Leave a Comment*

The picture shows some curves in the family of y = x cubed. Can you find the graph of this function and the equations of the other graphs? In this workshop guide you will find more examples of this type of ‘inverse problem’ where the learner is given information and has to […]

## NA1 NUMBER SYSTEMS AND SOLVING EQUATIONS

*By toni On 27 August, 2018 · Leave a Comment*

This workshop guide reviews the number systems that learners have met and expands number concepts to include complex numbers. Learning activities involve matching graphs to linear and quadratic equations and their solutions within different number systems.

There is discussion of the historial evolution of mankind’s concepts of number and parallels are drawn […]

## Grades 10 to 12 Quadratic Matching 1

*By toni On 21 April, 2018 · Leave a Comment*

Graphs and equations of 7 quadratic functions are given here.

Match them and put them into 7 sets. Write down the coordinates of the intercepts with the axes.

Make a poster showing the graph of each function with the matching equations.

In all these examples the coefficient of […]

## Grades 10 to 12 Quadratic Matching 2

*By toni On 21 April, 2018 · Leave a Comment*

The graphs and some properties of seven quadratic functions are given here.

The equation of each function is given in three different forms.

Match the graph of each function with the matching equations and properties.

This activitiy is linked to Quadratic Matching 1 which you […]

## Grade11 Quadratic Functions

*By toni On 20 February, 2017 · Leave a Comment*

The diagram shows the graphs of five quadratic functions or parabolas.

How do the points where the graph cuts the x axis relate to the axis of symmetry of the graph and the solutions of the quadratic equation ?

Draw a sketch graph of each of the following functions:

if a > […]

## Grades 9 to 12 – How Old Am I?

*By toni On 17 July, 2016 · Leave a Comment*

It is my birthday and in 15 years’ time, my age will be the square of my age 15 years ago!

Can you work out how old I am?

Now I am thinking “Was there ever a time in my life when I had other special birthdays?”

Could I have said:

“In 3 […]

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