Open the Translating a parabola page below.

Answer the questions and form a theory of how the parabola is translated.

Open the Exponent Excel worksheet below, showing translations of the exponential function
y = ab^{x – p} + q.

Use the slider to change the values of p and q and note how the graph and the equation of the function automatically change. Try different values of p and q … How does a change in p and q influence the function – what is the relationship between p, q, the graph and the equation?

Now also change a and b.