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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We want to draw the graph of the given function, which has the form $y=x_{2}+k,$ where $k$ is either a positive or a negative number. $y=x_{2}−9 $ To do so, we will first draw the graph of its parent function, $y=x_{2}.$ Recall that the graph of $y=x_{2}$ is a parabola opening upwards, with vertex $(0,0),$ whose axis of symmetry is the vertical line $x=0,$ and passes through the points $(3,9)$ and $(-3,9).$

Our function is a vertical translation of the parent function by $9$ units in the negative direction. Thus, we will translate the above graph $9$ units downwards.