# Math prob transformation of graph

• Mar 7th 2007, 09:17 PM
Mathfailure
Math prob transformation of graph
Can anyone help me with this..

How would I got abouts finding the answer to this question. Thanks for any help!

1. The graph of -
3f(x) can be obtained by

(a) stretching the graph of f(x) vertically by a factor of 3.

(b) stretching the graph of f(x) vertically by a factor of 3, and also reflecting the graph vertically.

(c) stretching the graph of f(x) horizontally by a factor of 3.

(d) stretching the graph of f(x) horizontally by a factor of 3, and also reflecting the graph hori-
zontally.

• Mar 7th 2007, 10:19 PM
topsquark
Quote:

Originally Posted by Mathfailure
Can anyone help me with this..

How would I got abouts finding the answer to this question. Thanks for any help!

1. The graph of -
3f(x) can be obtained by

(a) stretching the graph of
f(x) vertically by a factor of 3.

(b) stretching the graph of
f(x) vertically by a factor of 3, and also reecting the graph vertically.

(c) stretching the graph of
f(x) horizontally by a factor of 3.

(d) stretching the graph of
f(x) horizontally by a factor of 3, and also reecting the graph hori-

zontally.

The answer is a), by definition.

-Dan
• Mar 8th 2007, 10:45 AM
Mathfailure
Quote:

Originally Posted by topsquark
The answer is a), by definition.

-Dan

HI Dan and thanks. How did you get that answer? I am having a problem visually understanding why. Thanks!
• Mar 9th 2007, 12:24 PM
qbkr21
Quote:

Originally Posted by Mathfailure
Can anyone help me with this..

How would I got abouts finding the answer to this question. Thanks for any help!

1. The graph of -
3f(x) can be obtained by

(a) stretching the graph of f(x) vertically by a factor of 3.

(b) stretching the graph of f(x) vertically by a factor of 3, and also reflecting the graph vertically.

(c) stretching the graph of f(x) horizontally by a factor of 3.

(d) stretching the graph of f(x) horizontally by a factor of 3, and also reflecting the graph hori-
zontally.

All 3f(x) means is just multiply every Y coordinate by 3. It's as easy as that.