   Chapter 12.CR, Problem 4CC ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# (a) Suppose we are given an equation in x and y . Let h and k be positive numbers. What is the effect on the graph of the equation if x is replaced by x − h or x + h and if y is replaced by y − k or y + k ?(b) Sketch a graph of ( x + 2 ) 2 16 + ( y − 4 ) 2 9 = 1 .

To determine

(a)

To find:

The effect on graph if x is replaced by xh or x+h and if y is replaced by yk or y+k.

Explanation

Given:

Suppose we are given an equation in x and y. Let h and k be positive numbers.

Calculation:

If x is replaced by xh or x+h, it means that the center of the conic has been shifted to h or h on the x-axis

To determine

(b)

To sketch:

The graph of (x+2)216+(y4)29=1.

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