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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 + 1...
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Answered by Jordan P. Maths tutor
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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 light e...
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Answered by Vikram M. Biology tutor
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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 other...
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Answered by Vikram M. Biology tutor
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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 the w...
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Answered by Vikram M. Biology tutor
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How is thermoregulation achieved

When it is too cold the hypothalamus in the brain detects it is too cold it sends nerve impulses or electrical signals through the nervous system to targeted areas:erector muscles (don't laugh): are constric...
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Answered by Vikram M. Biology tutor
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