Question

Using the parent function y = x², match the transformation with the correct equation. (4 points)

Shift 4 units up

TOOLS

Shift 4 units down

Shift 4 units to the right

Shift 4 units to the left

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:: y = (x + 4)2 y=x²-4y = x² + 4 :: y = (x-4)2

Answer 1

Let's match the transformations with their corresponding equations based on the parent function \( y = x^2 \).

1. **Shift 4 units up**: This transformation adds 4 to the entire function.
- **Equation**: \( y = x^2 + 4 \)

2. **Shift 4 units down**: This transformation subtracts 4 from the entire function.
- **Equation**: \( y = x^2 - 4 \)

3. **Shift 4 units to the right**: This transformation involves replacing \( x \) with \( x - 4 \).
- **Equation**: \( y = (x - 4)^2 \)

4. **Shift 4 units to the left**: This transformation involves replacing \( x \) with \( x + 4 \).
- **Equation**: \( y = (x + 4)^2 \)

**Summary of matches**:

- Shift 4 units up: \( y = x^2 + 4 \)
- Shift 4 units down: \( y = x^2 - 4 \)
- Shift 4 units to the right: \( y = (x - 4)^2 \)
- Shift 4 units to the left: \( y = (x + 4)^2 \)