The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?

OA. Rx) = (x - 1) 2

OB. Rx) = (x + 1) 2

OC. Rx) = - 1 (x - 1)

OD. Rx) = - 1 (x + 1) 2

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A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a (x - h) ² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, 0), thus

y = a (x - 1) ² + 0

To find a substitute the coordinates of the y - intercept (0, 1) into the equation

1 = a ( - 1) ² = a, thus

a = 1

y = (x - 1) ² → A