Parent function: f(x)=sqrt(x)
Transformations:
1) Reflect the graph across the x-axis: f(x) changes sign:
h(x)=-f(x)→h(x)=-sqrt(x)
2) and shift it upward 3 units: We must add 3 units to the function:
g(x)=h(x)+3→g(x)=-sqrt(x)+3
Answer: Option C. g(x)=-sqrt(x)+3