Choose the function that matches the pven graph yx2l y x12 y

Choose the function that matches the pven graph. y-x^2-l y- (x-1)^2 y= (x 1)^2 y=-x^2 + l

Solution

The vertex form of the equation of a parabola is y = a (x - h)² + k . The vertex of this parabola is ( h, k). Further, is a is positive, the parabola opens upwards and if a is negative, the parabola opens downwards. Here, the parabola opens downwards, so that the coefficient of x² has to be negative,\\. Further, as per the graph, the vertex of the parabola is (0, 1). Therefore, the graph matches the last equation, i.e. y = - x ² + 1