# An expression for the function whose graph is the bottom half of the parabola x + ( y − 1 ) 2 = 0 . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.1, Problem 49E
To determine

## To find: An expression for the function whose graph is the bottom half of the parabola x+(y−1)2=0.

Expert Solution

The function that represents the bottom half of the parabola x+(y1)2=0 is f(x)=1x where x0.

### Explanation of Solution

Solve the equation of the parabola x+(y1)2=0 and obtain the roots as follows.

x+(y1)2=0(y1)2=xy1=±xy=1±x

Since the graph is the bottom half of the parabola, consider the root with a negative radical.

Therefore, the function that represents the bottom half the parabola is y=1x where x0.

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