Question

Rewrite in standard form and give the vertex. Please show steps. Am not sure how to write it in standard form.
y=x^2-6x+18

Answer 1

Standard form is this: \(y=a(x-h)^2+k\). and vertex is (h, k).
Complete the square to get it to standard form:
\[y=(x^2-6x+9)+18-9\\
y=(x-3)^2+9\]
Comparing this with our standard form, we see that the vertex is (3, 9).