Currently viewing the tag: "Quadratic equations"
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?
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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 […]
Find all the angles in the diagram and mark each set of equal angles in a colour for that set.
Let AE = 1 unit and BE = x units.
Which triangles are isosceles?
Which triangles are similar?
Use similar triangles to give an equation for x […]
1. For security John plans buy the minimum amount of Diamond Razor Mesh fencing material to fence around his dam and discourage entry. He sent his 15 year old son Mzu to measure the dam.
Mzu tells his Dad that this rectangular shape he has drawn of the dam and fence can help him.
To […]
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 ?
Match the graphs in the diagram to the following descriptions and give reasons […]
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 […]
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 […]
The rectangles shown are the same area. Find the area.
Make up some similar questions of your own.
Click here for the Notes for Teachers
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 […]
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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