# Elementary functions

Parabolas Translation and scaling.

Rational functions 1 Specifically, linear fractional functions $$y = \frac{ax + b}{cx + d}$$; try varying the constants $$a , b, c, d$$ and observe the effect on the graph, and on the horizontal and vertical asymptotes.

Rational functions 2 Of the form $$y = \frac{ax^2 + bx + c}{dx^2 + gx + f}$$; try varying the constants $$a, b, c, d, f, g$$.

Simple exponential functions of the form $$y = Ca^x$$. Vary the constants $$a, C$$ and observe the effect on the graph.

Compound interest $$A = P\left(1 + \frac{r}{m}\right)^{mt}$$, with suggestions for varying the constants.

Simple logarithmic functions in base $$a$$, along with the option to graph the exponential function $$a^x$$.