MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
For a vertical stretch with scale factor p, each point on the function is moved vertically so it is p times as far from the x-axis.
(1) Using this definition of a vertical stretch, does it make sense to talk about negative values of p?
(2) If a function is transformed from f(x) to −f(x), what transformation has actually occurred?
(3) What *combinations* of transformations would transform f(x) to −2f(x)?
(4) What can we say about y=f(qx) for:
- q=−1
- q<0,q=−1 ?