You may also like

problem icon

Real(ly) Numbers

If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + zx = 3. What is the largest value that any of the numbers can have?

problem icon

How Many Solutions?

Find all the solutions to the this equation.

problem icon

On the Road

Four vehicles travelled on a road with constant velocities. The car overtook the scooter at 12 o'clock, then met the bike at 14.00 and the motorcycle at 16.00. The motorcycle met the scooter at 17.00 then it overtook the bike at 18.00. At what time did the bike and the scooter meet?

Parabolas Again

Stage: 4 and 5 Challenge Level: Challenge Level:1
Try to decide how the graph of $y=x^2$ is transformed to give the graphs of $y=ax^2$, $y=(x+b)^2$ and $y=x^2+c$ by experimenting with some small integer values of $a$, $b$ and $c$, both positive and negative.