We are asked to write the equation of the parabola with vertex at the origin and directrix x=11:
The equation of a parabola with vertex at the origin and focus at (a,0) is y^2=4ax ; the parabola opens to the right if a>0 and to the left if a<0.
The vertex is the midpoint of the perpendicular segment drawn from the focus to the directrix.
Here the focus will be at (-11,0) so the equation we seek is y^2=-44x
Monday, May 9, 2016
x=11 Write the standard form of the equation of the parabola with the given directrix and vertex at (0,0)
Subscribe to:
Post Comments (Atom)
Summarize the major research findings of "Toward an experimental ecology of human development."
Based on findings of prior research, the author, Bronfenbrenner proposes that methods for natural observation research have been applied in ...
-
Find the indefinite integral $\displaystyle \int \sec^4 \left( \frac{x}{2} \right) dx$. Illustrate by graphing both the integrand and its an...
-
Determine $\displaystyle \frac{dy}{dx}$ of $y^5 + x^2y^3 = 1 + x^4 y$ by Implicit Differentiation. $\displaystyle \frac{d}{dx}(y^5) + ...
-
Determine the area of the region bounded by the hyperbola $9x^2 - 4y^2 = 36$ and the line $ x= 3$ By using vertical strips, Si...
-
Find the integral $\displaystyle \int^1_0 \frac{1}{\sqrt{16 t^2 + 1}} dt$ If we let $u = 4t$, then $du = 4dt$, so $\displaystyle dt = \frac{...
-
Determine the integral $\displaystyle \int \frac{\sin^3 (\sqrt{x})}{\sqrt{x}} dx$ Let $u = \sqrt{x}$, then $\displaystyle du = \frac{1}{2 \s...
-
Given y=cos(2x), y=0 x=0,x=pi/4 so the solid of revolution about x-axis is given as V = pi * int _a ^b [R(x)^2 -r(x)^2] dx here R(x) =cos(2x...
-
Anthony certainly cheats on Gloria. During the war, when he was stationed in South Carolina, he had an affair with a local girl by the name ...
No comments:
Post a Comment