Question

Consider the function.

f(x) = 2x - 6
Match each transformation of f(x) with its description.
1. g(x) = 8x - 6
2. g(x) = 2x - 2
3. g(x) = 2x - 10
4. g(x) = 8x - 4
5. g(x) = 8x - 24
6. g(x) = 2x - 14
A. stretches f(x) by a factor
B. of 4 away from the x-axis
C. shifts f(x) 4 units right
D. shifts f(x) 4 units down
E. compresses f(x) by a factor
F. of toward the y-axis

Answer 1

The given function f(x) = 2x - 6 can undergo various transformations such as stretching, shifting, and compressing. We need to match each transformation with its respective description.

Step-by-step explanation:

The given function is f(x) = 2x - 6 and we need to match each transformation with its description.

1. g(x) = 8x - 6: This stretches the graph of f(x) by a factor of 4 away from the x-axis.

2. g(x) = 2x - 2: This shifts the graph of f(x) 4 units down.

3. g(x) = 2x - 10: This shifts the graph of f(x) 4 units right.

4. g(x) = 8x - 4: This compresses the graph of f(x) by a factor of 4 toward the y-axis.

5. g(x) = 8x - 24: This shifts the graph of f(x) 4 units down and compresses it by a factor of 4 toward the y-axis.

6. g(x) = 2x - 14: This shifts the graph of f(x) 4 units down and 4 units right.