What is the vertex, axis of symmetry, the maximum or minimum value, and the range of parabola y = -x^2+2x-5? Find the maximum and minimum distance from graph x^3 + y^3 = 1 , x \geq 0 , y \geq 0 to points (-1, -1). Find the vertex, line of symme...
The graphs of f\left( x \right) = - 4{x^2} - 10x + 7 and g\left( x \right) = 12{x^2} + 30x + 1 have the same axis of symmetry. Determine whether the statement is true or false. If the vertex and focus of a parabola are...
The stability of such motion is investigated when the body rotates at constant angular velocity around the vertical, while its centre of mass moves between collisions on a parabola or along a fixed vertical line coinciding with the axis of rotation of the body. Stability conditions are obtained ...
Determine whether the statement is true or false. If the vertex and focus of a parabola are on a horizontal line, then the directrix of the parabola is vertical. Determine whether the statement is true or false. In the polar coordinate system...