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Rudiy27
3 years ago
9

The vertex of the parabola is at (4,-3) which of the following could be its equation?

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0
\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
y=a(x-{{ h}})^2+{{ k}}\\\\
\boxed{x=a(y-{{ k}})^2+{{ h}}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
\begin{cases}
h=4\\
k=-3
\end{cases}\implies x=a(y-(-3))^2+4\implies x=a(y+3)^2+4
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So, we have the two equations $4x+$360, and $10x+$6x. x represents how much members pay each day. The total number of visits when the cost for a member and nonmember is the same means we will have to set both equations equal to one another. 
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