Question

Match the equation with its feature. (4 points)

y=(z+7)²-3

y=(x-3)2+7

y=-2(z+3)2-7

y=(z+3)2-7

Axis of Symmetry is z = -7

Vertex at (3, 7)

Maximum at 7

Minimum at -7

Answer 1

Let's match each equation with its corresponding feature:

1. **y = (z + 7)² - 3**
- Axis of Symmetry: z = -7
- Minimum at -3 (not listed, correcting first suggestion)

2. **y = (x - 3)² + 7**
- Vertex at (3, 7)
- Minimum at 7 (the minimum value occurs at the vertex)

3. **y = -2(z + 3)² - 7**
- Maximum at -7 (since it opens downward)

4. **y = (z + 3)² - 7**
- Minimum at -7 (since it opens upward)

So, the matches are:
- **y = (z + 7)² - 3** → Axis of Symmetry is z = -7
- **y = (x - 3)² + 7** → Vertex at (3, 7)
- **y = -2(z + 3)² - 7** → Maximum at -7
- **y = (z + 3)² - 7** → Minimum at -7