Question

complete the square to rewrite the equation in vertex form.
y=-x^2+2x-7

Answer 1

start with
\[y=-(x^2-2x)-7\] then
\[y=-(x-1)^2+\text { stuff }\] replace x by 1 in the original expression to find the stuff.
\[-(1)^2+2\times 1-7=-6\] so answer is
\[y=-(x-1)^2-6\]