Chapter 2: Q. 94 (page 116)

Suppose that the graph of a function f is known. Explain how the graph of $y = 4 f (x)$ differs from the graph of $y = f (4 x)$ .

Short Answer

Expert verified

For the function $y = 4 f (x)$ , the function f is stretched vertically $4$ units by whereas for the function localid="1646042045790" $y = f (4 x)$ the functionf is compressed horizontally by $4$ units.

Step by step solution

Step 1. Given Information

The given function is given asf.

Step 2. Difference between the graphs

We know that for function $y = a f (x)$ the graph of function f is stretched vertically if $a > 1$ and for function $y = f (a x)$ the function f is compressed horizontally if $a > 1$ .

Thus, for the function $y = 4 f (x)$ the function f is stretched vertically by $4$ units whereas for the function $y = f (4 x)$ the function f is compressed horizontally by $4$ units.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Suppose that the graph of a function f is known. Explain how the graph of $y = 4 f (x)$ differs from the graph of $y = f (4 x)$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Difference between the graphs

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Suppose that the graph of a function f is known. Explain how the graph of y=4f(x)differs from the graph of y=f4x.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Difference between the graphs

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Suppose that the graph of a function f is known. Explain how the graph of $y = 4 f (x)$ differs from the graph of $y = f (4 x)$ .