Mathematics
23.10.2022 03:58
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The function g(x) = 3(x − 3)2 + 2 will translate 2 units down.

The function g(x) = 3(x − 3)2 + 2 will translate 2 units down.
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froyg1234
froyg1234
4,5(48 marks)
This will give a function 2 less than g(x):-

= 3(x - 3)^2
silverns
silverns
4,9(74 marks)
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{\underline{c} varies directly with \underline{n}}\qquad c=kn
\\\\\\
\textit{we also know that }
\begin{cases}
c=54\\
n=9
\end{cases}\implies 54=k9\implies \cfrac{54}{9}=k\implies 6=k
\\\\\\
\boxed{c=6n}
\\\\\\
\textit{when n = 3, what is \underline{c}?}\qquad c=6(3)

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