Transformations on Parent Functions

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

Which transformations are involved in the equation $$y=\frac{1}{2}\sqrt{x+1}-1$$  ?

If $$f\left(x\right)=a\left(x-h\right)^2+k$$  has a horiz. shift of -2, a vertical shift of +3 and a vertical stretch of 4, what are the values of a, h, and k?

If $$f\left(x\right)=a\left(x-h\right)^2+k$$  has a horiz. shift of -2, a vert. shift of 3 and a vert. stretch of 4, what is the equation for  $$f\left(x\right)$$  ?

How did the equation f(x) = x change if $$g\left(x\right)=\frac{1}{2}f\left(x\right)+11$$ ?

​ (a)   ​ (b)   by a factor of ​ (c)   and shift ​ (d)   (e)   units

How did the equation f(x) = x change if $$g\left(x\right)=\frac{1}{2}f\left(x\right)+11$$ ?

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Which transformation will occur if f(x) = x is replaced with 2f(x)?

Which transformation will occur if f(x) = x is replaced with 2f(x)?

​ (a)   ​ (b)   by a factor of ​ (c)  

If we transform the linear parent function by a factor of 3, reflect it, and translate it down 2, what would the new equation be?