Question

Given the function P(x)=(x-1)^2, Write the new function wi†h a dilation of 2 ON THE X

Answer 1

Answer:

P(x2) = (x2/2 -1 )^2

Step-by-step 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