Match the physical situation with the graph of the quadratic function that models it best. The temperature after x hours in a house where an air conditioner is turned on and then is turned off again. Choose the correct graph below. O A. OB. C. OD. Ay Ay

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 4E
Question
**Match the Physical Situation with the Appropriate Quadratic Function**

**Scenario:** The temperature after x hours in a house where an air conditioner is turned on and then is turned off again.

**Question:** Choose the correct graph below.

**Options:**

- **A.**
  - Graph Description: This is a downward-opening parabola. It starts high, decreases to a minimum point, and then increases again but the curve shown only represents the falling section.
- **B.**
  - Graph Description: This is an upward-opening parabola. It decreases to a minimum point and then increases again. The curve shown indicates a complete U shape.
- **C.**
  - Graph Description: This is an upward-opening parabola. It starts low and continues to increase. Only the rising section is shown.
- **D.**
  - Graph Description: This is a downward-opening parabola. It increases to a maximum point and then decreases again, forming an upside-down U shape.

The parabola that best matches the physical scenario - where the air conditioner is turned on, cooling the house, and then turned off, allowing the temperature to rise back up again - is **D**. This graph represents the temperature decreasing when the air conditioner is on and then increasing once it is turned off.
Transcribed Image Text:**Match the Physical Situation with the Appropriate Quadratic Function** **Scenario:** The temperature after x hours in a house where an air conditioner is turned on and then is turned off again. **Question:** Choose the correct graph below. **Options:** - **A.** - Graph Description: This is a downward-opening parabola. It starts high, decreases to a minimum point, and then increases again but the curve shown only represents the falling section. - **B.** - Graph Description: This is an upward-opening parabola. It decreases to a minimum point and then increases again. The curve shown indicates a complete U shape. - **C.** - Graph Description: This is an upward-opening parabola. It starts low and continues to increase. Only the rising section is shown. - **D.** - Graph Description: This is a downward-opening parabola. It increases to a maximum point and then decreases again, forming an upside-down U shape. The parabola that best matches the physical scenario - where the air conditioner is turned on, cooling the house, and then turned off, allowing the temperature to rise back up again - is **D**. This graph represents the temperature decreasing when the air conditioner is on and then increasing once it is turned off.
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