Need asap ! which equation matches the graph shown? a. y=x^2-6x+2 b. y=2x^2-4x+2 c. y=x^2-2x+1 d. y=-2x^2+4x-2

The correct option is A.

Step-by-step explanation:

The vertex form of a parabola is

         ..... (1)

Where, (h,k) is vertex and a is a constant.

From the given graph it is clear that the vertex of the graph is (3,-7) and y-intercept is (0,2).

Substitute h=3 and k=-7 in equation (1).

The y-intercept is (0,2). So, substitute c=0 and y=2 in the above equation to find the value of a.

Divide both sides by 9.

The value of a is 1.

Substitute a=1, h=3 and k=-7 in equation (1).

The equation of the parabola is .

Therefore the correct option is A.