An isometry is a transformation that preserves

Anyone know? will mark brainliest if you're correct!

Which is a true statement comparing the graphs of x^2/6^2-y^2/8^2 = 1 and x^2/8^2-y^2/6^2 the foci of both graphs are the same points. the lengths of both transverse axes are the same. the directrices of = 1 are horizontal while the directrices of = 1 are vertical. the vertices of = 1 are on the y-axis while the vertices of = 1 are on the x-axis.

Given the equation f(x)=a(b)x where the initial value is 40 and the growth rate is 20% what is f(4)