Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
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.

## Recommended textbook solutions #### Basic Technical Mathematics with Calculus

10th EditionISBN: 9780133253528Allyn J. Washington
12,709 solutions #### Thomas' Calculus

14th EditionISBN: 9780134438986 (3 more)Christopher E Heil, Joel R. Hass, Maurice D. Weir
10,144 solutions #### Calculus: Early Transcendentals

8th EditionISBN: 9781285741550 (3 more)James Stewart
11,085 solutions #### Calculus: Early Transcendentals

9th EditionISBN: 9781337613927 (3 more)Daniel K. Clegg, James Stewart, Saleem Watson
11,049 solutions