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(1 point) Use the derivative to find the vertex of the parabola y = -3x2 +...
se Home Use the derivative to find the vertex of the parabola. y=2x2 + 4x + 3 lework zes & Tests O A. (1,1) O B. (-1,-1) O C. (1, -1) OD. (-1,1) ly Plan Hebook pter Contents s for Success
(1 point) Find the vertex of the parabola y=201? + 19.+6 and determine whether it is a minimum or maximum. The vertex is the point T N and it is a (MIN or MAX)
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.
In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = - 3(x+4)2 +1 The vertex is (Type an ordered pair.)
For g(x) = 3x2-12x + 6, answer the following questions. a. Find the values of the x-intercepts b. State the coordinates of the y-intercept. c. State the vertex d. State the axis of symmetry e. State the direction of the parabola. f. Decide whether there is a relative maximum or minimum, then state it. g. Graph the function accurately using the above information. h. State the domain. i. State the range. j. State the interval of x where the graph is increasing k. State the interval of x where the graph...
Find the vertex and the x-intercepts (if any) of the parabola. (If an answer does not exist, enter DNE.) f(x) = 2x2 - 9x - 5 vertex (x, y) = ( 9/4 ✓ , -121/8 x-intercept (x, y) = ( ) (smaller x-value) x-intercept (x,y) = ( (larger x-value)
Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? • upward downward (b) Find the coordinates of the vertex. vertex: (0 (C) Find the intercept(s). For both the x- and y-intercept(s), make sure to do the following. • If there is more than one, separate them with Commas. • If there are none, select "None". x-intercept(s): 1 y-intercept(s);
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: : /...
In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = -4(x+7)2+9 The vertex is _______ (Type an ordered pair.) Find the zeros for the polynomial function and give the multiplicity for each zero touches the x-ain and turns around at each zero. f(x) = - 7(x - 5)(x+ 9)3
Use the graph of the parabola to fill in the table. 100 (a) Does the parabola open upward or downward? upward downward -10 10 (b) Find the intercept(s). For both the x- and y-intercept(s), make sure to do the following. • If there is more than one, separate them with commas. • If there are none, select "None". - 3 10- x-intercept(s): 1 y-intercept(s): 1 (c) Find the equation of the axis of symmetry. equation of axis of symmetry: 1...