The word "impose" is a verb that means to establish or enforce something by authority, force, or pressure. When something is imposed, it is typically done so against the will or without the consent of others. This can refer to the imposition of rules, regulations, laws, taxes, or other restrictions. It can also refer to the act of forcing someone to accept or endure something, such as a burden or a punishment.

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A parabola is a U-shaped curve that is determined by the equation y = ax^2 + bx + c, where a, b, and c are constants. In this equation, x represents the input value and y represents the output value. The coefficient a determines the shape of the parabola. If a is positive, the parabola opens upwards, creating a smiley face shape. If a is negative, the parabola opens downwards, creating a frown shape. The vertex of the parabola is the lowest or highest point on the curve, depending on the direction of the opening. It is given by the formula x = -b/2a and y = f(x), where f(x) is the corresponding y-value. The axis of symmetry is a vertical line that passes through the vertex of the parabola. It is given by the equation x = -b/2a. The y-intercept is the point where the parabola intersects the y-axis. It is found by plugging in x = 0 into the equation y = ax^2 + bx + c. The x-intercepts, also known as zeros or roots, are the points where the parabola intersects the x-axis. They can be