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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We want to draw the graph of the given quadratic function, which has the form $y=(x-h)^2,$ where $h$ is either a positive or a negative number. $\begin{gathered} y=(x+5)^2 \quad \Leftrightarrow \quad y=\big(x-(\text{-} 5)\big)^2 \end{gathered}$ 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 passing through the points $(1,1)$ and $(\text{-} 1,1).$

Our function is a horizontal translation of the parent function by $5$ units in the negative direction. Thus, we will translate the above graph $5$ units to the left.