Can you tell me if the parabola would open up or down

Domain {x|x€R}
Range {y|-♾️<y< or equal to 2

Based on the domain and range given, we cannot definitively determine if the parabola would open up or down. The direction of the opening of the parabola is usually determined by the sign of the coefficient of the x^2 term in the quadratic equation representing the parabola. Without knowing the specific quadratic equation, we cannot determine the direction of the opening of the parabola in this case.

I'm sorry Domain is {x|x€R}

Range {y|-♾️<y<or=to 2}

Thank you for the clarification. With the updated information, the parabola would open downwards. The range provided indicates that the maximum value of y is 2, meaning that the parabola reaches its maximum value at y = 2 and then continues to decrease for all other values of y. This behavior is indicative of a parabola that opens downwards.