SOLUTION: Let f(x) = √x . Find a formula for a function g whose graph is obtained from f by the given sequence of transformations. (1) shift left 3 units (2) vertical stretch by a fa

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Let f(x) = √x . Find a formula for a function g whose graph is obtained from f by the given sequence of transformations. (1) shift left 3 units (2) vertical stretch by a fa      Log On


   

Question 1113710: Let f(x) = √x . Find a formula for a function g whose graph is obtained from f by the given sequence of transformations.
(1) shift left 3 units
(2) vertical stretch by a factor of 2
(3) reflect across the x-axis
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

(1)  after transformation (1) it becomes  sqrt%28x%2B3%29;

(2)  after transformation (2) it becomes  2%2Asqrt%28x%2B3%29;

(3)  after transformation (3) it becomes  2%2Asqrt%28-x%2B3%29.






Plot y = sqrt%28x%29 (red, the original function);  y = 2%2Asqrt%28-x%2B3%29 (transformed final; green)