Determine whether the following statement makes sense or does not make sense, and explain the reasoning. A student graphed a parabola that opened to the right and contained a maximum point. Choose the correct answer below. C O A. The statement does not make sense. Parabolas that open to the right extend indefinitely in the positive and negative y directions, so there is no maximum point. OB. The statement makes sense because the vertex of the parabola is the maximum point regardless of its opening. O C. The statement makes sense. There is a point that is equidistant from the directrix and the focus where the maximum occurs. O D. The statement does not make sense. Parabolas that open to the right extend indefinitely in the positive x direction, so there is no maximum point.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Determine whether the following statement makes sense or does not make sense, and explain the reasoning.**

*A student graphed a parabola that opened to the right and contained a maximum point.*

---

**Choose the correct answer below:**

- **A.** The statement does not make sense. Parabolas that open to the right extend indefinitely in the positive and negative y directions, so there is no maximum point.
  
- **B.** The statement makes sense because the vertex of the parabola is the maximum point regardless of its opening.
  
- **C.** The statement makes sense. There is a point that is equidistant from the directrix and the focus where the maximum occurs.
  
- **D.** The statement does not make sense. Parabolas that open to the right extend indefinitely in the positive x direction, so there is no maximum point.
Transcribed Image Text:**Determine whether the following statement makes sense or does not make sense, and explain the reasoning.** *A student graphed a parabola that opened to the right and contained a maximum point.* --- **Choose the correct answer below:** - **A.** The statement does not make sense. Parabolas that open to the right extend indefinitely in the positive and negative y directions, so there is no maximum point. - **B.** The statement makes sense because the vertex of the parabola is the maximum point regardless of its opening. - **C.** The statement makes sense. There is a point that is equidistant from the directrix and the focus where the maximum occurs. - **D.** The statement does not make sense. Parabolas that open to the right extend indefinitely in the positive x direction, so there is no maximum point.
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