Answer
Refer to the graph below.
Work Step by Step
Factor the trinomial to obtain:
$y=x^2-8x+16
\\y=(x-4)(x-4)
\\y=(x-4)^2$
Recall:
The graph of $y=(x-h)^2+k$ is a parabola that opens upward whose vertex is at $(h, k)$.
The equation above can be written as $y=(x-4)^2+0$.
Thus, its graph sis a parabola whose vertex is at $(4, 0)$.
To graph this equation, perform the following steps:
(1) Create a table of values by assigning $x=2, 3, 4, 5, 6$ then solving for the corresponding value of $y$ for each one.
Refer to the table below.
(2) Plot each point from the table then connect the points using a smooth curve.
Refer to the graph in the answer part above.
