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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 stretc...

JM
Answered by Jack M. Maths tutor
3145 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...

AH
Answered by Alfie H. Maths tutor
2317 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 multi...

AH
Answered by Alfie H. Maths tutor
1995 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. Th...

AH
Answered by Alfie H. Maths tutor
3623 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 ow...

EG
Answered by Ella G. Geography tutor
18401 Views

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