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Chapter 11: Q. 290 (page 1157)

In the following exercises, graph each ellipse.

(x-5)216+(y+3)236=1

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given Information

The given equation is(x-5)216+(y+3)236=1

02

Step 2. Calculation

On comparing the given equation with general form of equation, we get,

h=5,k=-3

Thus, center of ellipse is (5,-3)

Now, as role="math" localid="1645290336319" 36>16and 36 is in y2term so major axis is vertical.

b2=36b=卤36b=卤6

Thus, distance from center to vertices is 5.

And distance from center to endpoints of minor axis is as follows,

a2=16a=卤16a=卤4

03

Step 3. Graph

The required graph is

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