Question

What effect occurs on the graph of the function f(x) = |2x| when f(x) is transformed into 8f(x)?

a) Stretched vertically
b) Compressed vertically
c) Stretched horizontally
d) Compressed horizontally

Answer 1

Multiplying the function f(x) = |2x| by 8 stretches the graph vertically, making it taller without affecting its horizontal dimension.

Step-by-step explanation:

The effect of transforming the function f(x) = |2x| into 8f(x) is a vertical stretch. When you multiply the function by 8, each output value of the function is increased by a factor of eight, which means the graph will become taller or stretched vertically. There is no horizontal compression or stretching, as the value inside the absolute value -- which affects horizontal changes -- remains the same.