Problem 88
Question
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.
Step-by-Step Solution
Verified Answer
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.
1Step 1: 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.
2Step 2: 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.
3Step 3: 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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