A translation is a shift of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). The value of \(a\) ...

American Journal of Mathematics, Vol. 101, No. 4 (Aug., 1979), pp. 743-759 (17 pages) The elementary functions of a complex variable z are those functions built up from the rational functions of z by ...

An equation of the form \(y = mx + c\) where \(m\) and \(c\) are numbers, gives a straight line when values of \(x\) and corresponding values of \(y\) are plotted on a grid. A straight line is a ...

PART V. of the new geometry by Messrs. Hall and Stevens has been recently issued, and the whole work, so far as it is completed, is now conveniently published in one volume. The final part, dealing ...

When the logarithmic function is approximated by sequences of algebraic functions, similar questions can be posed as in the case of other similar problems. So, for example, it is interesting to ...