Complete the square to find the vertex of this parabola. 2 y -8+2y +17-0 (?, I...
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: : /...
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 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.
Complete the square to determine whether the equation represents an ellipse, a parabola. If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the vertex, focus, and directrix. Then sketch the graph of the equation. 4x^2 +4x − 8y + 9 = 0
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
(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 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...
Frank Johnson: Attempt 1 Given the graph of the parabola below, with vertex at the origin and the point (4,12) on the parabola, find the equation and directrix of the parabola. 18 16 14 (4,12) 12 F 10 1 8 6 2 - 2 0 O A) equation: y = - 1x2, directrix: y = 3 B) equation: y = -1x2, directrix: y = A otv 30 11 80 TS 9 & 7 % 5 # $ 4 8 ON...
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)