Question

Transforming the graph of a function by shrinking or stretchingGraph (a)

Answer 1

ANSWER

EXPLANATION

If g(x) is the transformation of f(x) as follows,

$g(x)=f(ax)$

Then g(x) is a horizontal compression (if a > 1) or stretch (if a < 1) of f(x). The rule to map each point is,

$(x,y)\to(x/a,y)$

In this case, this is a stretch so the point (-2, 2) maps to the point (-4, 2) and the origin is the same. Join these two points with a line and we get the graph of f(¹/₂x).