Write an equation for a parabola with vertex at the origin, passing through (3,9), and symmetric with respect to the x-axis. Choose the correct equation. A. $$x^2 = 27y$$ B. $$x^2 = 4py$$ C. $$y^2 = \frac{27}{4}x$$ D. $$y^2 = 27x$$
Added by Ronald M.
Close
Step 1
The problem states that the parabola has its vertex at the origin (0,0) and is symmetric with respect to the x-axis. A parabola symmetric with respect to the x-axis has a standard equation of the form $$y^2 = 4px$$. Show more…
Show all steps
Your feedback will help us improve your experience
Bradley Duda and 66 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
27
Bradley D.
The vertex of this parabola is at (1, 3). Which of the following could be its equation? A. x = 3(y - 3)2 - 1 B.y = 3(x + 1)2 - 3 C.x = 3(y - 3)2 + 1 D.y = 3(x + 1)2 + 3
Matthew E.
Gregory H.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD