Write in the form where and are integers.
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Write in the form where and are integers.
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Write in the form
where and are integers.
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Express in the form , where and are integers.
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The equation of a curve is
Circle the coordinates of the turning point.
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Write in the form
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Write in the form
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Write x2 + 8x + 3 in the form (x + a)2 - b.
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Write in the form
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Write in the form
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Find the value of and the value of .
= ............................................
= ............................................
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The expression can be written in the form for all values of .
Find the value of and the value of .
The equation of a curve is where
The diagram shows part of a sketch of the graph of .
The minimum point of the curve is .
Write down the coordinates of .
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Given that for all values of .
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Given that and are integers,
express in the form
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Express in the form where and are integers.
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Write in the form
The line is the line of symmetry of the curve with equation
Using your answer to part (a) or otherwise, write down an equation of .
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Express in the form
Show your working clearly.
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The equation of a curve is
By completing the square, work out the coordinates of the turning point.
You must show your working.
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[3]
= ........... or = .......... [4]
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Sketch the graph of , indicating the coordinates of the turning point.
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i)
Write in the form .
[2]
ii)
Use your answer to part (i) to solve the equation .
................... or ................... [2]
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Write in the form .
Use your answer to part (a) to solve the equation
.................... or ....................
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Find the value of and the value of .
= ...............................................
= ...............................................
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Write in the form where and are integers.
Hence, or otherwise, write down the coordinates of the turning point of the graph of
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Express in the form where andare integers.
is the curve with equation
The point is the maximum point on
Use your answer to part (a) to write down the coordinates of
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Express in the form where , and are integers.
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The function is such that for
Express in the form where and are constants.
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Write in the form where , and are integers.
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Express in the form where and are constants.
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can be written in the form
where and are positive numbers.
Work out the values of and .
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Find the turning point of by completing the square.
( ...................... , .....................)
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