QuestionDetermine whether the statement makes sense or does not make sense, and explain the reasoning. The student must have made an error when graphing a parabola because its axis of symmetry is the -axis.
Studdy Solution
STEP 1
1. A parabola can have a vertical axis of symmetry.
2. The -axis can serve as the axis of symmetry for a parabola.
STEP 2
1. Understand the properties of a parabola.
2. Determine if the -axis can be an axis of symmetry for a parabola.
3. Conclude whether the statement makes sense or not.
STEP 3
A parabola is a symmetric curve, and its axis of symmetry is a line that divides the parabola into two mirror-image halves.
STEP 4
The -axis can be the axis of symmetry for a parabola if the parabola is oriented vertically and centered at the origin or if its vertex is on the -axis.
STEP 5
Since a parabola can indeed have the -axis as its axis of symmetry, the statement that the student must have made an error is incorrect. The statement does not make sense because there is no inherent error in having the -axis as the axis of symmetry for a parabola.
The statement does not make sense.
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