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Find the vertex, focus, and directrix of the following parabola. Graph the equation. y? - 2y...
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 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
This Question: 1 pt 1 of 15 (0 Find the equation of the parabola described below. Find the two points that define the latus rectum, and graph the equation. Focus at (-3,-4); directrix the line x=5 The equation of the parabola in the standard form is I. (Type an equation.) The two points that define the latus rectum are (Type ordered pairs. Use a comma to separate answers as needed.) Use the graphing tool to graph the parabola. Click to...
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 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 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...
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
For the function below, (a) find the vertex; (b) find the axis of symmetry: (c) determine a minimum value and find that value; and (d) graph the function. f(x) = x2 + 8x + 17 (a) The vertex is (Type an ordered pair, using integers or fractions.) (b) The axis of symmetry is (Type an equation. Use integers or fractions for any numbers in the equation.) (c) Does f(x) have a maximum or a minimum value? The parabola f(x) has...
date Find the equation of the parabola with focus at (-1,-2) and directrix x-2y +3=0 Given .
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.