Find the area parabola y^2 =4ax , show that the subtangent is bisected at the vertex and that tge subnormal is constant
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Determine the centroid of the area between the parabola y^2=4ax and the line y=bx. Answer: Centeoid x= 8a/5b^2; y=2a/b
Find the vertex, focus, and directrix of the parabola. Then graph the parabola.(x-4)2 = 12(y + 2) The vertex of the parabola is _______ (Type an ordered pair) The focus of the parabola is _______ (Type an ordered pair.) The directrix of the parabola is _______ (Type an equation. Simplify your answer.) Use the graphing tool to graph the parabola only.
2. For the following quadratic equations, find the vertex, and y inter- cepts, determine whether the parabola opens up, down, right or left and say whether it is tighter, wider or the same thightness as the standard parabola. You do not have to graph the parabola. (a) y-2 3r - 1 (b) y 3r2+5x +4 (d) y 2r2 8x +8 (e) 27 (f) z 5y2 +2y 1
2. For the following quadratic equations, find the vertex, and y inter- cepts,...
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus (20) Need Help? 11. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCOLALG10 4.3.023 Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin Directo y 2 = sy Need Help? Wach 12. [-/1 Points] DETAILS LARCOLALG10 4.3.025. Find the standard form of the equation of the parabola with the given characteristics and vertex...
9. A parabola is modeled by the general equation (y-n)2 = 4p(x -k). Which statement below is not true about the parabola? The distance from the vertex of the parabola to the directrix of the parabola is equal to the distance from the vertex of the parabola to the focus of the parabola. The vertex of the parabola is located midway between the focus and the directrix of the parabola. A unique parabola can be defined by a line segment...
(1 point) Use the derivative to find the vertex of the parabola y = -3x2 + 12x - 9. Answer: the vertex has coordinates x = and y =
Find the vertex, focus, and directrix for the following parabolas. (a) (y - 2) = 2002 - 2) vertex : focus : directrix: (b) y2 - 4y = 20% - 22 Vertex focus : directrix (c) (z - 6) = 20(4-5) vertex focus directric (d) 22 + 402 = 4y - 8 vertex focus: directrix An arch is in the shape of a parabola. It has a span of 440 meters and a maximum height of 22 meters. Find the...
2 4. Let Flx) = -2X+12% -23. Write or circle your answers, when appropriate. (6 pts) equation in vertex form: vertex: parabola opens: (upward I dounward) parabola is (wider I narrower) parabola has foli (2) x-intercepts parabola has (ol1/2)y-intercepts then y=x² -
parabola has a veertex of (a,3) and
focus (a,-8), how do I find the equation?
2) x=3tan(t)+C
y=Asec(t)+5
eliminate parameter to get rectangular equation
show me how to do these step by step please
Parabola vertex cha, 3) Foarsilang) nad Equation? y=Bsee t) + 5 x=3 tan HHAI eliminate parameter to get reathing iniar aquestion
find a function whose graph is a parabola with vertex
(-3,-6)
(4 points) Find a formula for the quadratic function whose graph has its vertex at (7,8) and its y-intercept at y = -4. f(3) = (x+7)^2+8 help (formulas)