Step 1
In this activity, students explore transformations of graphs. Modifications are made to the input and output of parent functions. In the first problem, they will begin with the transformation of f(x) → f(x–h), by changing the input values.
Just Move It
Activity Overview
Students explore translations, compressions and stretches of the parent function graph f(x) = x² and f(x) = x³.
Key Steps
Step 2
Students will then complete the transformation of ff(x)→f(x)+k, by changing the output values. They will confirm their observations by exploring the transformation of h and k together.
Step 3
If time permits, students can explore the transformation of ff(x)→af(x). They will use fractions as well as whole numbers in their investigation. Students will also compare negative a-values to positive a-values.