Question

Help me please .....

Answer 1

Answer:

the transformed function will be: $\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}$

Step-by-step explanation:

We need to transform $f(x)=\sqrt{x}$ into g(x) using following translations

1) reflection in the x-axis

The reflection across x-axis will be:

$g(x)=-\sqrt{x}$

2) Horizontal shrink by a factor of 1/3

The horizontal shrink by a factor of 1/3 will make the function g(x)

$g(x)=-\sqrt{\frac{1}{3} x}$

3) Vertical translation up 2 units

The vertical translation up 2 units will make the function g(x)

$g(x)=-\sqrt{\frac{1}{3} x}+2$

So, the transformed function will be: $\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}$