To get better at function transformations in Grade 9 Algebra I, try these tips:

Understand Basic Transformations

1. Translations:

   • When you see $f(x) + k$, it means the graph moves up.
   • When you see $f(x) - k$, the graph moves down.
   • For horizontal shifts, $f(x + h)$ means the graph moves to the left, while $f(x - h)$ means it moves to the right.

2. Reflections:

   • A reflection over the x-axis is shown as $-f(x)$.
   • A reflection over the y-axis is written as $f(-x)$.

Visual Learning

• Graphing Tools:
  • Use tools like Desmos to see how transformations work.
  • Visual tools can help you understand up to 50% better!

Practice with Common Functions

• Start with simple functions like $f(x) = x^2$ and apply transformations step by step.
• For example:
  • In $g(x) = (x - 3)^2 + 2$, the graph moves 3 units to the right and 2 units up.

Problem Sets

• Make sure to solve problems regularly that focus on transformations.
• Studies show that doing 10-15 problems each week can help you remember what you learned by 40%.

Peer Teaching

• Work with your friends to explain transformations to each other.
• Teaching can help you understand things better—some studies say it can improve your grasp by about 70%.

Practicing regularly and using visuals will really help you understand function transformations!