Given:
a function f(x) = (x-2)^2 is given.
Find:
we have to find the function whose graph is a result of horizonal shift of 2 units of the original graph.
Explanation:
Since the given graph of the function is shifted 2 units horizontally,
and we know y is vertical axis, x is horizontal axis.
So put x = x+2 in the given function, we get
[tex]\begin{gathered} f(x)=(x+2-2)^2 \\ f(x)=x^2 \end{gathered}[/tex]
Therefore the graph of f(x)=(x-2)^2 is a result of horizontal shift of 2 units of f(x) = x^2.
The graphs are given for the reference
