Write an equation for a parabola with a vertex at the origin, passing through (2,1), and symmetric with respect to the x-axis. An equation for this parabola is (Simplify your answer. Use integers or fractions for any numbers in the expression.)
Write an equation for a parabola with a vertex at the origin, passing through (2,1), and symmetric with respect to the x-axis. An equation for this parabola is (Simplify your answer. Use integers or fractions for any numbers in the expression.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.CR: Chapter Review
Problem 9E
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![Write an equation for a parabola with a vertex at the origin, passing through (2,1), and symmetric with respect to the x-axis.
An equation for this parabola is
(Simplify your answer. Use integers or fractions for any numbers in the expression.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b825f9c-2d86-47f7-8aa1-205926a079d9%2Fcdd4c6a5-aae3-4cbd-964f-438f19834683%2F9gneqt6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write an equation for a parabola with a vertex at the origin, passing through (2,1), and symmetric with respect to the x-axis.
An equation for this parabola is
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The vertex of the parabola is at the origin and it is symmetric about x axis
Also it passes through (2,1)a point in first quadrant
Let its equation be
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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