Equation of horizontal parabola passing through 3 points
find the equation of a parabola with axis parallel to x-axis and passing through (5,4), (11,-2), (21,-4).
- Log in to post comments
Active forum topics
- Deriving trigonometric function
- Eliminate the Arbitrary Constants
- Law of cosines
- Maxima and minima (trapezoidal gutter)
- Special products and factoring
- Integration of 4x^2/csc^3x√sinxcosx dx
- application of minima and maxima
- Sight Distance of Vertical Parabolic Curve
- Application of Differential Equation: Newton's Law of Cooling
- Minima maxima: a²y = x⁴
New forum topics
- Integration of 4x^2/csc^3x√sinxcosx dx
- Maxima and minima (trapezoidal gutter)
- Special products and factoring
- Newton's Law of Cooling
- Law of cosines
- Can you help me po to solve this?
- Eliminate the Arbitrary Constants
- Required diameter of solid shaft
- Deriving trigonometric function
- Integration $\displaystyle \int \sec 2x ~ dx$
Re: analytic geometry
$y^2 + Dx + Ey + F = 0$
At (5, 4)
$16 + 5D + 4E + F = 0$
$5D + 4E + F = -16$ → equation (1)
At (11,-2)
$4 + 11D - 2E + F = 0$
$11D - 2E + F = -4$ → equation (2)
At (21,-4)
$16 + 21x - 4E + F = 0$
$21x - 4E + F = -16$ → equation (2)
From equations (1), (2), and (3), D = -2, E = -4, and F = 10
$y^2 - 2x - 4y + 10 = 0$ answer