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Given a graph of y = f(x) how do you sketch a graph of y = f(x)+4, y = f(x-5), y = -f(x+4) or any other similar transformations

For y = f(x)+4: the graph undergoes a translation of (0,4) For y = f(x-5): the graph undergoes a translation of (5,0) For y = -f(x+4): the graph is reflected w.r.t the x-axis and translated by (-4,0)*imagine...
JE
Answered by Jack E. • Maths tutor
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Question: Factorise the expressions: 1. X^2 - 9 2. 2X^2 - 14X + 24

The ways to complete the first one is to realise that it involves a difference of two squares. If you were to see (X^2) with a constant (number), you know they have no factor in common, meaning the two terms...
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Answered by Yahya M. • Maths tutor
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Differentiate this equation: xy^2 = sin(3x) + y/x

y 2 + 2xy dy/dx = 3cos(3x) + 1/y - x/y 2 dy/dx thereforedy/dx = (3cos(3x) + 1/y - y 2 ​​​​​​) / (2xy + x/y 2 )
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Answered by Alexander E. • Maths tutor
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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle

Perimeter= 72Ratios are 3:4:5In total, you can think of there being 3+4+5=12 "portions".This means that in the perimeter includes 12 portions. 72/12=6 so each portion is worth 6cm. Now we can work ...
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Answered by Natasha A. • Maths tutor
3289 Views

Can you please explain how to expand two brackets, eg. (3x-7)(5x+6)

When I am expanding brackets I use the acronym FOIL and simplify. You begin by multiply the first term (F) in each bracket, followed by multiplying the outside terms (O), then the inside terms (I) and finall...
Answered by • Maths tutor
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