Question

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch.
f(x) = sqrt(x)
g(x) = sqrt(0.5x)

Answer 1

g(x)=a*f(x) is a vertical stretch, with factor a.
h(x)=f(bx) is a horizontal stretch, with factor b.
If a is negative, it also implies a reflection about the x-axis.
If b is negative, it also implies a reflection about the y-axis.