Mathematics

Problem

An architect is designing a roof profile using the function

f(x)

which is an inverted V-shape with the peak at

(5, 4)

and endpoints at

(2, 1)

and

(8, 1)

. To fit a wider building, the profile is transformed to

h(x) = f\left(\frac{x-1}{2}\right)

. Note: This combines shift and scale. Determine the

x

-coordinate of the peak of the new roof profile.