What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(1/3x)?
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1. what is the formula for finding the vertical distance between two points on a coordinate plane?

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

A. what does the point (4, 122) represent? b. what is the unit rate? c. what is the cost of buying 10 tickets?