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Chapter 3: Problem 88

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I like to think of a parabola's vertex as the point where it intersects its axis of symmetry.

Short Answer

Expert verified
The statement makes sense because the vertex of a parabola is the point where the parabola intersects its axis of symmetry, which is a vertical line dividing the parabola into two congruent halves.

Step by step solution

01

Analyze the statement

Find out what the statement is saying about the vertex of a parabola and its relationship to the axis of symmetry. Consider the definitions and properties of a parabola.
02

Confirm if the relationship holds true

Compare the described relationship between the vertex and the axis of symmetry with the actual characteristics of a parabola. A parabola is symmetric, and its axis of symmetry is a vertical line that passes through its vertex. Therefore, it does intersect at the vertex.
03

Formulate the explanation

Prepare the explanation for the conclusion made. In this case, the statement is correct because the vertex of a parabola is indeed the point where it intersects its axis of symmetry.

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