Question

What is the translation from \(f(x) = 1x^5\) to \(g(x) = 3x^5\)?

a) Moved up
b) Moved down
c) Counterclockwise rotation
d) Clockwise rotation

Answer 1

The change from f(x) = x^5 to g(x) = 3x^5 represents a vertical stretch of the graph by a factor of 3, not a movement or rotation.

Step-by-step explanation:

The translation from the function f(x) = x^5 to g(x) = 3x^5 is not a movement up, down, or a rotation. Instead, it represents a vertical stretch of the graph of the function. Each y-value of the original function is multiplied by 3 in the new function, which stretches the graph vertically by a factor of 3.