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Describe the set of transformations that will transformthe curve y=x^ to the curve y=x^2 + 4x - 1

First complete the square on the curve in the answer to obtain y=(x+2) 2 - 5 Now if you were to call your original equation y=f(x) you could see that the new equation is simply y=f(x+2) - 5This is now just a...
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Answered by Shavon D. • Maths tutor
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How should I go about researching my coursework essay and how do I write an introduction?

The most important rule to remember is to never start writing before you have properly thought out your argument and have come up with a comprehensive structure. The best starting point is to find a basic re...
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Answered by Tatiana G. • History tutor
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How is a concentrated filtrate produced in the kidney to remove harmful toxins from the body?

To begin with, sodium ions are actively (using ATP) pumped out of the ascending limb of the loop of henle, however, as the ascending limb is impermeable, water remains . This creates a lower water potential ...
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Answered by Dan W. • Biology tutor
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I'm puzzled by some of the imagery in Frank O'Hara's poem 'Having a Coke With You'. Could you help?

Well, let's take perhaps the most obscure image in the poem, from the final lines of the first section: 'in the warm New York 4 o’clock light we are drifting back and forth / between each other like a tree b...
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Differentiate y=(x^2 + 2x)cos(3x)

Here we need to use the product rule in order to differentiate as we have two functions involved that are being multiplied together. Therefore we use the formula:dy/dx = u dv/dx + v du/dxFirst let u=(x^2 + 2...
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Answered by Katie B. • Maths tutor
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