Question

Which of these functions best describes this graph?

Answer 1

The correct answer is C.

Answer 2

The correct option is A.

Explanation:

The vertex from of a parabola is

`y=a(x-h)^2+k`

Where, (h,k) is vertex of the parabola and a is a Constant.

From the given graph it is clear that the vertex of the parabola is (1,0) and the y-intercept is (0,1).

The vertex of the parabola is (1,0). Put h=1 and k=0 in the above equation.

`y=a(x-1)^2+0`

`y=a(x-1)^2` ... (1)

The graph passing through (0,1).

`1=a(0-1)^2`

`1=a`

Put a=1 in equation (1) to find the equation of parabola is

`y=(1)(x-1)^2`

`y=(x-1)(x-1)`

Therefore option A is correct.