Question

move the slider h so that the graph of y = x² gets shifted to the right 2 units. then type the new function, f(x) in the answer box. dont forget to shift the graph to the right. using function notation, i.e. f(x)=, enter the function that results from the transformation.

Explanation:

Step1: Recall horizontal - shift rule

For a function $y = f(x)$, shifting it $h$ units to the right gives $y=f(x - h)$.

Step2: Apply the rule to $y=x^{2}$

Here $h = 2$, so the new function is $f(x)=(x - 2)^{2}$.

Answer:

$f(x)=(x - 2)^{2}$