👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain ...

👉 Learn how to graph exponential functions in base e. An exponential function is a function whose value increases rapidly. e is a constant called the exponential constant equal to 2.7183... To graph ...

\(y = x^2 + a\) represents a translation parallel to the \(y\)-axis of the graph of \(y = x^2\). If \(a\) is positive, the graph translates upwards. If \(a\) is negative, the graph translates ...

A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(f(x) = x^2\) is the same as the graph of \(y = x^2\).