Questions: 1. Which description of a graph appears to represent a quadratic relation? a. a line straight up and down b. an ellipse c. a parabola opening up d. a parabola opening to the right

1. Which description of a graph appears to represent a quadratic relation? a. a line straight up and down b. an ellipse c. a parabola opening up d. a parabola opening to the right
Transcript text: $\qquad$ 1. Which description of a graph appears to represent a quadratic relation? a. a line straight up and down b. an ellipse c. a parabola opening up d. a parabola opening to the right
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Solution

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Solution Steps

Step 1: Understand the question

The question asks which description of a graph represents a quadratic relation. A quadratic relation is typically represented by a parabola, which is a U-shaped curve that can open upwards, downwards, or sideways.

Step 2: Analyze the options
  • a. a line straight up and down: This describes a vertical line, which is not a quadratic relation.
  • b. an ellipse: An ellipse is a conic section but not a quadratic relation in the form of a parabola.
  • c. a parabola opening up: This describes a U-shaped curve opening upwards, which is a quadratic relation.
  • d. a parabola opening to the right: This describes a sideways parabola, which is also a quadratic relation.
Step 3: Determine the correct answer

Both options c and d describe parabolas, which are quadratic relations. However, the question asks for a description that "appears to represent a quadratic relation," and both are valid. Since the question likely expects a single answer, we choose the most common representation of a quadratic relation, which is a parabola opening up or down.

Final Answer

The answer is C.

\\(\boxed{\text{C}}\\)

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