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Chapter 2: Problem 91

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 as the vertex of a parabola is indeed the point where it intersects its axis of symmetry.

Step by step solution

01

Understand the Concept of Parabola

A parabola is a type of curve that's opened upwards or downwards. This curve is symmetrical, has a vertex which is the highest or lowest point, and an axis of symmetry that passes through the vertex.
02

Identify the Vertex and Axis of Symmetry

The vertex of a parabola is the highest or lowest point of the curve depending on whether the parabola opens upwards or downwards. The axis of symmetry in a parabola is a vertical line that divides the parabola into two equivalent mirror images. The vertex is a point on this axis.
03

Examine the Statement

The statement says 'I like to think of a parabola's vertex as the point where it intersects its axis of symmetry'. Looking at the concepts and definitions explained in steps 1 and 2, this statement makes sense because the vertex of the parabola is indeed the point where it intersects its axis of symmetry

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