# How Do Two Graphs Differ?

Discussion in 'Algebra' started by harpazo, Apr 24, 2024.

1. ### harpazo

Joined:
Apr 24, 2024
Messages:
16
1
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(4x).

Let me see.

For the graph of y = 4•f(x), we stretch the graph vertically because 4 > 1.

For the graph of y = f(4x), we compress the graph horizontally because 4 > 1.

You say?

harpazo, Apr 24, 2024
2. ### Vaquita3

Joined:
Apr 26, 2024
Messages:
3
1
Yes. "Vertically" with respect for the y-axis and "horizontally" with respect for the x-axis.
I had a teacher that was cruelly particular about this. Would regularly switch the axes on tests to make sure we were paying attention to the orientation of the graphs themselves. It hurt. I never forgot. Is this academic trauma response?

Vaquita3, Apr 26, 2024
harpazo likes this.
3. ### harpazo

Joined:
Apr 24, 2024
Messages:
16
1

harpazo, Apr 26, 2024
4. ### Vaquita3

Joined:
Apr 26, 2024
Messages:
3
1
Yeh. A response ingrained deep into the psyche and originating in an experience from within the world of academia.

Vaquita3, Apr 29, 2024
5. ### harpazo

Joined:
Apr 24, 2024
Messages:
16
1
Let's stay focused on mathematics. I am not interested in deep psychological discussions or philosophy.

harpazo, Apr 30, 2024
6. ### conway

Joined:
Nov 28, 2023
Messages:
83
4
Vaquita3 was only trying to be friendly and make a joke about their days in college. I was trying to discuss philosophy. Please forgive me, I accept you are not interested in philosophy, or how it merges with mathematics. Good Luck in your studies!

conway, Apr 30, 2024
7. ### harpazo

Joined:
Apr 24, 2024
Messages:
16
1
I am not offended. At 59, however, I don't have time for jokes and philosophy, well, that's another course.

harpazo, May 1, 2024
8. ### RobertSmart

Joined:
Apr 9, 2024
Messages:
24
4

When we have y = 4•f(x), the graph is stretched vertically by a factor of 4, since multiplying the function by 4 stretches it vertically.

On the other hand, with y = f(4x), the graph is compressed horizontally by a factor of 1/4. This is because replacing x with 4x inside the function causes it to compress horizontally.

Your understanding highlights the essential differences in how these two transformations affect the graph. Great job!

And sure, if you need further assistance with math assignments or any other academic help, you might find mathassignmenthelp.com useful. They offer support for various mathematical topics and could be a valuable resource for your assignments. You can also contact them by dialing +1 (315) 557-6473.

RobertSmart, May 1, 2024
9. ### harpazo

Joined:
Apr 24, 2024
Messages:
16
1
I am strictly interested in mathematics.

harpazo, May 26, 2024 at 9:05 AM

Joined:
Apr 24, 2024
Messages:
16