Refer to the blue graph below.
Work Step by Step
RECALL: The function $y=f(x-h)$ involves a horizontal shift of $h$ units to the right of the parent function when $h\gt 0$ and $|h|$ units to the left when $h \lt 0$. The given function is in the same format as the equation above, and has $h=5$. This means that the graph of $y=(x-5)^2$ involves a horizontal shift of $5$ units to the right of the parent function $y=x^2$ Thus, to graph the given function: (1) Graph the parent function $y=x^2$ . (Refer to the red graph in the attached image below) (2) Shift the parent function 5 units to the right. (Refer to the blue graph in the attached image above.)