Question

Write a rule for g described by the transformations of the graph of f.

Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left
of the graph of f(x)=(21x)^1/2

Answer 1

Answer:
`g(x)=(3)/(7)(21(x+5))^(1/2)`

Explanation:

Transformation rule:

Shifting by k units left :
`f(x)\to f(x+5)`

Dilation by a factor of h units:
`f(x)\to hf(x)`

Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left of the graph of
`f(x)=(21x)^(1/2)`

The rule for g described by the transformations of the graph of f. :
`g(x)=(3)/(7)(21(x+5))^(1/2)`