find the function that is finally graphed after the following transformations are applied to y=square root x in the order listed.

Question

a. reflected about the x-axis
b. shift up 7 units
c. shift right 5 units

y=?
would the answer be:
y=sqrt(-x-5)-7

Answer 1

y = √x
reflect in x: (x,y) -> (x,-y)
y = -√x
shift up 7
y = -√x + 7
shift right 5
y = -√(x-5) + 7