Open the Horizontal Excel worksheet below, showing horizontal translations of the power function
y = a(x – p)^b.

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

Now also change a and b.

Open the Vertical Excel worksheet below, showing vertical translations of the power function
y = ax^b + p.

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

Now also change a and b.

Open the Translations Excel worksheet below, showing translations of the power function
f(x) = a(x – p)^b + q.

Your task is to find the algebraic equation of this new function.