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3 years ago

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

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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For the other side, you can do something similar and divide through everything by <em>d</em> :

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