Answer:
Solution : Option A
Step-by-step explanation:
Let' go through all the options we have here.
• x + 2 = - 1 / 8y² converted into standard form will be 4(- 2)(x - (- 2)) = (y - 0)². The parabola properties will be similar to the ones of this parabola, vertex = (- 2,0) and focal length = - 2. It hence is most likely to be the parabola provided to us.
• y = 1 / 8(x + 2)² is an up - down facing parabola, and hence is not at all similar to the given parabola
• x - 2 = 1 / 8y² will be a graph reflected over the y - axis with respect to the graph x + 2 = - 1 / 8y². It hence does not match the given parabola
• y = 1 / 8(x + 2)² will be a graph reflected over the x - axis with respect to the graph of y = 1 / 8(x + 2)². It will hence be a down - up facing parabola, which does not match the given parabola
