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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

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