(1 point) Find the vertex of the parabola y=201? + 19.+6 and determine whether it is...
(1 point) Use the derivative to find the vertex of the parabola y = -3x2 + 12x - 9. Answer: the vertex has coordinates x = and y =
Consider the given function f(x) = 19 4 (a) Determine whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (1) Determine the axis of symmetry. (9) Determine the minimum or maximum value of the function. (h) Write the domain and range in interval notation. Write your answers in exact form. Part: 0 / 9 Part 1 of 9 (a) Determine whether the graph...
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...
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...
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. 181 16 14 (4,12) 12 10 1 8 6 2 -2
(7) For the following function, S(x) = 5x +40x+1 (a) Find the vertex (b)Determine whether there is a maximum or minimum value. Find that value (c) Make a rough sketch of the graph showing the point where the maximum or minimum value lies (d) Find the range (e) Find the intervals on which the function is increasing and the intervals on which the function is decreasing
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)
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...
Suppose a parabola has its vertex at the origin and its focus on the y-axis. And suppose it passes through the point (2.7). Find the equation of the parabola.