Question

Which parabola has the graph shown? 5 O A. (1-2) = (1-1) O B. (1 - 1) = (x - 2)² O c. (x-1)=- (v - 2)² OD. O d. (x+1) = (-2)

Answer 1

Choice D: ( x + 1) = ( y - 2) ^2

Step-by-step explanation:

The parabola given is left to right, meaning it curves towards the right.

Therefore, its equation must look like:

`(x+c)=(y+a)^2`

For a second, we notice that the point ( - 1, 2) is the vertex of the parabola. This means that the parabola is shifted 1 unit to the left and 2 units upwards. Therefore, The equation of the parabola must be:

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

Hence, choice D is the correct answer.