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:$g(x)=\frac{3}{7}(21(x+5))^{1/2}$

Step-by-step 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. : $g(x)=\frac{3}{7}(21(x+5))^{1/2}$