Transformations of graphs

What you'll learn

1. 1

   Imagine you have a photo on your phone. You can slide it left/right or up/down – that's a translation!

2. 2

   When you translate a graph, does its shape change?

3. 3

   Slide the blue curve 2 units to the right. The equation is y = x². The new equation will be y = (x – 2)².

4. 4

   Let's translate y = x² up by 3 units. Watch the steps!

5. 5

   If y = x² is translated left by 4, what is the new equation?

6. 6

   Now you try! Translate y = x² down by 2. Type the new equation.

7. 7

   What happens to the graph of y = x² when you change it to y = (x – 5)²?