Let the graph of g be a vertical stretch by a factor of 3 and a translation 2 units left of the graph of

Question

Continuance ^ F(x)=2(square root x) -1 right a rule for g

Answer 1

If you are stretching it vertically then you are making the function narrower which means you need to multiply the whole function by a factor greater than 1.

When you want to move the function to the left, then you need to add to x the specified value at each instance.

For this prproblem, let's first shift left, then stretch vertically.

F(x)=2√(x)-1

To shift left by 2, add 2 at each instance of x:

f(x)=2√(x+2)-1

To stretch vertically, multiple the whole function by 3:

3f(x)=3[2√(x)-1]=6√(x-1)-3

g(x)=6√(x-1)-3