What kinds of function transformations are introduced?

Conditions

• These are presented as general ways to modify the graph of a parent function.
• Only horizontal and vertical translations and reflections are actually solved within this clip.

Reasoning, step by step

1. Review the board outline listing the transformation types.
2. Identify translations as shifts left, right, up, and down.
3. Identify reflections as flips across the x-axis or y-axis.
4. Identify vertical stretches and compressions as reshaping the graph vertically.

Example

The handwritten outline names shifts left, right, up, and down; reflections; and vertical stretches plus compressions. The presenter explains that these operations move or reshape the graph of the parent function.

Common misconceptions

• Assuming that all listed transformations are solved in the examples; only translations and reflections are worked through.
• Confusing vertical stretches with horizontal shifts.

Watch the explanation

Explore next

• How do you write the equation for translating $y=f(x) 4$ units left and 3 units down?
• Where does the negative sign go when reflecting across the x-axis?