Question

Anyone know the answer?

Answer 1

Answer:

Step-by-step explanation:

This is of the form

$f(x)=a(x-h)^2+k$

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.