Answer:
P(x2) = (x2/2 -1 )^2
Explanation:
From the question, we have a dilation of 2 units on the x-axis
The individual points on the curve can be written as:
(x, P(x))
For the sake of ambiguity, let’s say P(x) is y
Now if the first point is (x1,y1) then the second is (x2,y2)
But since dilation is only on the x-axis y1 is same as y2
What this means is that;
our second point is still same as (x2,y1)
But x2 = 2x1
or x1 = x2/2
Thus; y2 or P(x2) = (x2/2 -1 )^2
Thus the horizontal dilation causes the new curve to be as written above