We want to draw the graph of the given function, which has the form y=(x−h)2, where h is either a positive or a negative number. y=(x−2)2 To do so, we will first draw the graph of its parent quadratic function, y=x2. Recall that the graph of y=x2 is a parabola opening upwards, with vertex (0,0), whose axis of symmetry is the vertical line x=0, and passing through the points (1,1) and (-1,1).
Our function is a horizontal translation of the parent function by 2 units in the positive direction. Thus, we will translate the above graph 2 units to the right