Describing Transformations of Quadratic Functions

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. $$\begin{array}{c}y=(x+5{)}^2\iff y=(x-(\text{-}5){)}^2\end{array}$$ 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.