A parabola has a horizontal axis which crosses the x-axis at x = 2, and the y-axis at y = -1, and y = 7. Determine the vertex of this parabola
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Determine the equation of the parabola that has its vertex at the origin and satisfies the given condition. Axis is the x-axis, and the parabola passes through the point (2, 1).
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...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
Graph each parabola. Give the vertex, axis, domain, and range. 5. y-2x2 6. У -1x2 7. y (x-1)2-1 10. y--5
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.
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm g) Sketch the graph...
(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 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 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...