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Question

Identify the type of curve for each equation, and then view it on a calculator.$4(y^2 + 6y + 1) = x(x - 4) - 24$

Solution

Verified
Step 1
1 of 4

We can rewrite the equation as:

\begin{align*} 4y^2+24y+4&=x^2-4x-24\\ 4y^2+24y-x^2+4x+28&=0 \end{align*}

According to the coefficients by $x^2$ and $y^2$, we can determine the equation represents a hyperbola.

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