# What shifting and shrinking operations must be operated on the function y = t 2 to obtain the function y = C ( t ) ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.5, Problem 90E

a.

To determine

## What shifting and shrinking operations must be operated on the function y=t2 to obtain the function y=C(t)

Expert Solution

To shift y upward 2 units, shrink vertically by a factor of 12

### Explanation of Solution

Given information : The question is

The temperature on a certain afternoon is modeled by the function C(t)=12t2+2

Calculation : The shift y upward 2 units, shrink vertically by a factor of 12

b.

To determine

### To transform the new function y=C(t)

Expert Solution

The shift of y upwards 32 units and y stretches vertically by a factor of 95

### Explanation of Solution

Given information : The question is

The relationship between the Celsius and Fahrenheit degrees is given by F=95C+32

Calculation : first combine both C(t)=12t2+2 and F=95C+32

So, it starts out placing C(t) where ‘C’ is the second function

y=95(12t2+2)+32y=910t2+185+32y=910t2+1785

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