Answer:
Step-by-step explanation:
This is of the form
[tex]f(x)=a(x-h)^2+k[/tex]
where h and k are the coordinates of the vertex, and the values that tell us the translation of the parent graph from its starting point (which is always the origin). The 2 out front, the a value, tells us that the graph of this parabola is a bit slimmer than the parent graph, but does nothing to its translation (or movement). It does, however, tell us which way the parabola opens. Because the parabola opens upwards, the 2 is positive. The h value tells us our side to side movement. The "(x - " part is very important because it doesn't change. If we have (x - 2), then it is understood to be (x - (2)) which is movement 2 units to the right (because positive numbers move right or up, while negative numbers move left or down). If we have (x + 2), then it is understood to be (x - (-2)) which is movement 2 units to the left. Because our parabola is shifted 2 units to the right, it reflects (x - 2) squared. It is shifted up 2 so the k value is a +2. The equation for this parabola could be B only.
