How to Graph Transformation on the TINspire
Several types of functions have graphs that can be directly manipulated on the TINspire screen. To accomplish this task, simply press [CTRL][CLICK to grab the graph and then use the Touchpad keys to perform a transformation.
As an example, create the graph of y = x^{2}. Two different options are possible:

Perform a translation. Position the cursor on the vertex of the graph until the crossed, doubleheaded arrow symbol appears, and press [CTRL][CLICK] to grab the graph. Use the Touchpad keys to translate the graph and press [ESC] when finished.
Notice that the equation of the graph is updated automatically, in real time, as you move the graph, as shown in the first screen.

Perform a stretch. Position the cursor on a side of the parabola until the
symbol appears and press [CTRL][CLICK] to grab the graph. Use the Touchpad keys to stretch the graph and press [ESC] when complete.
Notice that the equation of the graph, specifically the value a in front of the parentheses, is automatically updated, as shown in the second screen.
Here is a list of the different functions that can be transformed using the same procedures just described:

Linear functions of the form y = b, where b is a constant

Linear functions of the form y = ax + b, where a and b are constants

Quadratic functions of the form y = ax^{2} + bx + c, where a, b, and c are constants or the form y = a(x – h)^{2} + k

Exponential functions of the form y = e^{ax}^{ + }^{b}^{ }+ c, where a, b, and c are constants

Exponential functions of the form y = be^{ax}^{ }+ c, where a, b, and c are constants

Exponential functions of the form y = de^{ax }^{+ }^{b}^{ }+ c, where a, b, c, and d are constants

Logarithmic functions of the form y = a ln(cx + b) + d, where a, b, c, and d are constants

Sinusoidal functions of the form y = a sin(cx + b) + d, where a, b, c, and d are constants

Cosinusoidal functions of the form y = a cos(cx + b) + d, where a, b, c, and d are constants
All the previously mentioned functions can be translated and stretched. However, in the case of the first two linear functions, the stretch looks more like a rotation about the yintercept.
With a bit of practice, you will quickly learn where to find the positions on the graph where the translation and stretch symbols appear. For example, translate the graph of a sin(cx + b) + d by positioning the cursor at a point halfway between the maximum and minimum values. Any other point on the graph, TINspire allows you to stretch the graph.