Question

For the function f(x)=x^2, what effect will multiplying f(x) by 1/2 have on the graph?

Answer 1

For the function f ( x ) = x² we have the new function f 1 ( x ) = 1/2 x².
f ( x ) = a · x²
- If |a| < 1   the graph is compressed vertically by a factor of a.
- If |a| > 1  the graph is stretched vertically by a factor of a.
Here:  a = 1/2 < 1
Answer:
C. The graph will be compressed vertically.