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How can functions be transformed?

A function, y = f(x), with y on the vertical axis and x on the horizontal axis, can be transformed by 3 different ways: It can be stretched (or shrunk)If y = f(ax), the function is stretched by a scale facto...
JM
Answered by Jack M. • Maths tutor
3687 Views

If y = 15 + 5(x + 2), and x = 6, what is y?

Because we're told that x = 6, we can just rewrite the original equation but replace the x with a 6. So: y = 15 + 5(6 + 2) 6 + 2 = 8, so we can rewrite this again as: y = 15 + 5(8) 5(8) is just another way o...
AH
Answered by Alfie H. • Maths tutor
3110 Views

How do I solve simultaneous equations like 2x + 5y = 50 and 3x + y = 23?

With simultaneous equations like these, you first want to get to a point where you have one equation with only one variable. To do this, you must eliminate one of the variables. In this case, if you multiply...
AH
Answered by Alfie H. • Maths tutor
2416 Views

How do I solve a quadratic equation like x^2 - 2x - 35 = 0 without using a calculator?

If possible, you should try to factorise a quadratic. To do this, look a the factors of the constant, in this case -35. 35 is clearly divisible by 5, and 35 / 5 = 7, so 5 and 7 are one pair of factors. These...
AH
Answered by Alfie H. • Maths tutor
4421 Views

Outline the positive and negative effects of urban sprawl?

Define urban sprawl: urban sprawl is the outward growth of urban areas. As people move to urban areas the need for land to build on increases so the suburbs spread out.The positive effects are business owner...
EG
Answered by Ella G. • Geography tutor
21383 Views