   Chapter 10.1, Problem 58E

Chapter
Section
Textbook Problem

# Classifying the Graph of an Equation In Exercises 51-56, classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 9 ( x + 3 ) 2 = 36 − 4 ( y − 2 ) 2

To determine

To calculate: The equation 9(x+1)2=364(y2)2 as a circle, parabola, ellipse, and hyperbola.

Explanation

Given:

The equation is 9(x+1)2=364(y2)2.

Formula used:

The standard equation of an ellipse is,

(xh)2a2+(yk)2b2=1

Calculation:

Shift the variable terms on left hand side.

9(x+1)2+4(y2)2=

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