the graph of $f(x) = \\sqrt{x}$ is given below. write the equation of a function $g(x)$ which would shift…
the graph of $f(x) = \\sqrt{x}$ is given below. write the equation of a function $g(x)$ which would shift the graph of $f(x)$ right 3 units.
Answer
Explanation:
Step1: Recall horizontal shift rule
For a function ( y = f(x) ), shifting the graph right by ( h ) units (where ( h>0 )) gives ( y = f(x - h) ).
Step2: Apply the rule to ( f(x)=\sqrt{x} )
Here, we need to shift right 3 units, so ( h = 3 ). Substitute ( x - 3 ) into ( f(x) ): ( g(x)=f(x - 3)=\sqrt{x - 3} ).
Answer:
( g(x)=\sqrt{x - 3} )