For the given Parabola (y-5)=16(x+2)^2 , determine:
a. vertex
b.P
c. focus
d. equation of directrix
For the given Parabola (y-5)=16(x+2)^2 , determine: a. vertex b.P c. focus d. equation of directrix
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.
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...
Find the vertex, focus, and directrix of the following parabola. Graph the equation. y? - 2y +x=0 The vertex is (Type an ordered pair.) The focus is (Type an ordered pair.) The equation of the directrix is (Type an equation.) Use the graphing tool to graph the equation. Click to enlarge graph
Find the vertex, focus, and directrix of the parabola. 28y = x2 vertex (X,Y) = _______ focus (X,Y) = _______ directrix _______ Sketch its graph, showing the focus and the directrix.
Determine the coordinates of the vertex, coordinates of the focus, and equation of the directrix for the parabola (y - 2)2 = 12 (2+3) (n) Coordinates of the Focus (type your answer a) Coordinates of the Vertex type your answer D (0Equation of the Directric type your answer
Find the focus, directrix, vertex and axis of symmetry for the parabola -8(y + 3) - (-3) Focus = Directrix Vertex = Be sure to enter each answer in the appropriate format. Hint: What is the appropriate notation for a line or a point? Graph the parabola. Include the directrix and focus with your graph. 0 5 4 3 2 0.5 .4.9.2 2 97 5 0 2 -2 9 . - 5 - 0 7+ Clear All Draw: : /...
Problem 9: Find the equation of the parabola given F (2,-2) and directrix y = 1 Problem 10: Find the focal axis orientation, vertex, focus, and directrix given x = -y2 + 2y - 6
Write down the equation of given parabola x? +8x+4y+12 =0 in standard form. State the vertex, focus and the equation of the directrix. Hence, sketch its graph. 4. Show that y² + 4y +8x + 12 = 0 represents a parabola. Hence, determine its focus, and directrix. [4 marks]
1. Rewrite the given equation in standard from, and then determine the vertex (V), focus (F), and directrix (d) of the parabola. a. b. x==y2 36 c. y2 - 6y + 12x - 3 = 0
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2 9 y Oy2-36x x2 36 y Oy2 = -9x 5. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. (2 points) 1 x2 28 1 X = y2 28 -28y x2 Oy2 14x = 9. (2 points) 4. Find the...