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Complete the square and hence sketch the graph of f(x) = x^2 + 2x + 7

Consider (x + 1)^2, where we halved the coefficient of x to obtain 1. This gives us x^2 + 2x + 1, which looks similar to our function, except it differs by a constant value of 6, hence, by adding 6 to (x ...

JP
Answered by Jordan P. Maths tutor
3445 Views

What is a tropism

Tropism is directional growthPhototropism is directional growth in response to light.Negative phototropism is growing away from the light e.g. in the rootsPositive phototropism is growing towards the ligh...

VM
Answered by Vikram M. Biology tutor
4215 Views

how does speciation occur

A change in the environment occurs. Through random mutations already present in the population (this is known as natural variation) certain individuals will be able to cope with the change more so than ot...

VM
Answered by Vikram M. Biology tutor
2451 Views

If I am given a line, how do I find a line that is parallel to it? What about perpendicular?

The key fact here is to remember the relationship between the gradients of lines which are parallel and perpendicular. Two lines that are parallel will always have the same gradient. So if we have a line ...

HW
Answered by Harry W. Maths tutor
4013 Views

what are the components of the sensory neurone

The nerve impulse starts at the dendrites, branch like structures,They then travel to the dendrons which make up the length of the neurone between the dendrites and the cell body.The cell body controls th...

VM
Answered by Vikram M. Biology tutor
2223 Views

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