Answer:
[tex]\huge\boxed{y=9x^2-144x+593}[/tex]
Step-by-step explanation:
[tex]y=9(x-8)^2+17\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\y=9\bigg(x^2-2(x)(8)+8^2\bigg)+17\\\\y=9(x^2-16x+64)+17\qquad\text{use the distributive property}\\\\y=(9)(x^2)-(9)(16x)+(9)(64)+17\\\\y=9x^2-144x+576+17\\\\y=9x^2-144x+593[/tex]