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.
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.
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...
1. Find the vertex, the focus and the directrix of the parabola y2 + 4y - 8r. Make a sketch of the parabola, the directrix and the focus.
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 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: : /...
Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola: 12.8y = x2 The focus is _______ The directrix is _______ The focal diameter is _______ The vertex is _______ The axis of symmetry is _______ Be sure to enter each answer in the appropriate format. Hint: What is the appropriate notation for a line or a point?
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...
Select the best answer for the question. 7. Find the focus and directrix of the parabola with the following equation: x2 = 36y O O A. focus: (0.9); directrix: y = -9 B. focus: (0, -9), directrix: x = -9 C. focus (9, 0); directrix: y = 9 D. focus: (9, 0); directrix. x = 9
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]
Find the focus and directrix of the parabola with the equation 8x2 + 8y = 0. Then choose the correct graph of the parabola. What are the coordinates for the focus of the parabola? (Type an ordered pair.) What is the equation for the directrix? Choose the correct graph for 8x² + 8y = 0 below. O N4