How do you write and graph a function that translates #y=sqrtx# by shifting 5 units right and 3 units up?
1 Answer
Jun 6, 2017
graph{sqrt(x-5) +3 [-10, 10, -5, 5]}
Explanation:
The function
graph{sqrt(x) [-10, 10, -5, 5]}
Shifting the function 5 units to the right means translating the function 5 units along the x-axis. So we will subtract
graph{sqrt(x-5) [-10, 10, -5, 5]}
Add 3 to shift the function 3 units up:
graph{sqrt(x-5) +3 [-10, 10, -5, 5]}