Question

For the function f(x) = x2, what effect will multiplying f(x) by 1/2 have on the graph?

Answer 1

For this case we have the following function:
 f (x) = x2
 We apply the following transformation:
 Vertical expansions and compressions:
 To graph y = a * f (x)
 If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
 We have then:
 f (x) = (1/2) * x2
 Answer:
 is compressed vertically by a factor 1/2