We want to draw the graph of the given function, which has the form y=x2+k, where k is either a positive or a negative number. y=x2+3 To do so, we will first draw the graph of its parent 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 passes through the points (1,1) and (-1,1).
Our function is a vertical translation of the parent function by 3 units in the positive direction. Thus, we will translate the above graph 3 units upwards.