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In the following exercise, find the coordinates of the vertex for the parabola defined by the...
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
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.
Consider the quadratic function: f(x)=2x^2−8x+2 . Find the following for this parabola. A) The line of symmetry: B) The vertex: C) The vertical intercept is the point D) Give the coordinates of the two xx intercepts of the parabola as ordered pairs.
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 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...
please answer all questions
For the function below. (a) find the vertex: (b) find the axis of symmetry: (c) determine whether there is a minimum value and find that value; and (d) graph the function. 17 f(x) = - X2 - 10x-24 (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...
Consider the quadratic function: f(x) = 22? + 14x + 13 . Find the following for this parabola. A) The line of symmetry: B) The vertex: C) The vertical intercept is the point D) Give the coordinates of the two z intercepts of the parabola as ordered pairs. Round your values to two decimal places for this part, if the roots are irrational.
Find a function whose graph is a parabola with the given vertex and that passes through the given point. Write your answer in vertex form a x- Vertex (-2,-4); passes through the point (-1, -7)
DETAILS Find a function whose graph is a parabola with the given vertex and that passes through the given point. Write your answer in vertex form: f(x)-a(x-)P+* Vertex (-2, -3); passes through the point (-1,-6) f(x) DETAILS Solve the problem. The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds? ft