Question

Unit 2 Sample Work Retake 4 of 154 of 15 Items Question Match each quadratic equation to the correct graph. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. y=(x−4)2+3y=−2(x−4)2+3y=(x+4)2+3

Answer 1

To match the given quadratic equations to their corresponding graphs, we need to analyze the equations provided:

1. **y = (x - 4)² + 3**:
- This equation represents a parabola that opens upwards with its vertex at the point (4, 3).

2. **y = -2(x - 4)² + 3**:
- This equation represents a parabola that opens downwards (due to the negative coefficient) with its vertex at the point (4, 3). The factor of -2 indicates that it is narrower than the standard parabola.

3. **y = (x + 4)² + 3**:
- This equation represents a parabola that opens upwards with its vertex at the point (-4, 3).

To match these equations to graphs:
- Look for the vertex position to determine the correct graph.
- Identify the direction (upward/downward) based on the coefficient in front of the squared term.

If you have specific graphs to compare against, you would look for:
- The right vertex (4, 3) for the first two equations.
- The right vertex (-4, 3) for the third equation.
- The orientation (upward vs downward) as described.

Using this information, make your matches accordingly. If you provide the graphs, I can assist further in identifying specific matches.